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Cardinal | four hundred | |||
Ordinal | 400th (four hundredth) | |||
Factorization | 24 × 52 | |||
Divisors | 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400 | |||
Greek numeral | Υ´ | |||
Roman numeral | CD | |||
Binary | 1100100002 | |||
Ternary | 1122113 | |||
Quaternary | 121004 | |||
Quinary | 31005 | |||
Senary | 15046 | |||
Octal | 6208 | |||
Duodecimal | 29412 | |||
Hexadecimal | 19016 | |||
Vigesimal | 10020 | |||
Base 36 | B436 | |||
Hebrew | ת (Tav) |
400 (four hundred) is the natural number following 399 and preceding 401.
400 is the square of 20. 400 is the sum of the powers of 7 from 0 to 3, thus making it a repdigit in base 7 (1111).
A circle is divided into 400 grads, which is equal to 360 degrees and 2π radians. (Degrees and radians are the SI accepted units).
400 is a self number in base 10, since there is no integer that added to the sum of its own digits results in 400. On the other hand, 400 is divisible by the sum of its own base 10 digits, making it a Harshad number.
Four hundred is also
A prime number, tetranacci number,[1] sum of seven consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71), sum of nine consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Chen prime,[2] Eisenstein prime with no imaginary part, Mertens function returns 0,[3] member of the Mian–Chowla sequence.[4]
402 = 2 × 3 × 67, sphenic number, nontotient, Harshad number,
403 = 13 × 31, Mertens function returns 0.[3]
404 = 22 × 101, Mertens function returns 0,[3] nontotient, noncototient.
405 = 34 × 5, Mertens function returns 0,[3] Harshad number;
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406 = 2 × 7 × 29, sphenic number, triangular number, centered nonagonal number,[6] nontotient
407 = 11 × 37,
408 = 23 × 3 × 17
409 is a prime number, Chen prime,[2] centered triangular number.[11]
410 = 2 × 5 × 41, sphenic number, sum of six consecutive primes (59 + 61 + 67 + 71 + 73 + 79), nontotient, Harshad number
411 = 3 × 137, self number,[13]
412 = 22 × 103, nontotient, noncototient, sum of twelve consecutive primes (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59)
413 = 7 × 59, Mertens function returns 0,[3] self number[13]
414 = 2 × 32 × 23, Mertens function returns 0,[3] nontotient, Harshad number
415 = 5 × 83,
416 = 25 × 13
417 = 3 × 139
418 = 2 × 11 × 19, sphenic number,
A prime number, Sophie Germain prime,[16] Chen prime, Eisenstein prime with no imaginary part, highly cototient number,[17] Mertens function returns 0[3]
422 = 2 × 211, Mertens function returns 0,[3] nontotient
423 = 32 × 47, Mertens function returns 0,[3] Harshad number
424 = 23 × 53, sum of ten consecutive primes (23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), Mertens function returns 0,[3] refactorable number,[19] self number[13]
425 = 52 × 17, pentagonal number,[20] sum of three consecutive primes (137 + 139 + 149), Mertens function returns 0,[3] the second number that can be expressed as the sum of two squares in three different ways (425 = 202 + 52 = 192 + 82 = 162 + 132 ).
426 = 2 × 3 × 71, sphenic number, nontotient,
427 = 7 × 61, Mertens function returns 0[3]
428 = 22 × 107, Mertens function returns 0, nontotient
429 = 3 × 11 × 13, sphenic number, Catalan number[21]
430 = 2 × 5 × 43, sphenic number, untouchable number[10]
A prime number, Sophie Germain prime,[16] sum of seven consecutive primes (47 + 53 + 59 + 61 + 67 + 71 + 73), Chen prime, Eisenstein prime with no imaginary part
432 = 24 × 33 = 42 × 33, The sum of four consecutive primes (103 + 107 + 109 + 113), a highly totient number,[22] sum of totient function for first 37 integers. 432! is the first factorial that is not a Harshad number in base 10. 432 is also three-dozen sets of a dozen, making it three gross. An equilateral triangle whose area and perimeter are equal, has an area (and perimeter) equal to .
A prime number, Markov number,[23] star number.[24]
434 = 2 × 7 × 31, sphenic number, sum of six consecutive primes (61 + 67 + 71 + 73 + 79 + 83), nontotient
435 = 3 × 5 × 29, sphenic number, triangular number, hexagonal number,[25] self number[13]
436 = 22 × 109, nontotient, noncototient
437 = 19 × 23
438 = 2 × 3 × 73, sphenic number, Smith number.[26]
A prime number, sum of three consecutive primes (139 + 149 + 151), sum of nine consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67), strictly non-palindromic number[27]
440 = 23 × 5 × 11, the sum of the first seventeen prime numbers, Harshad number,
441 = 32 × 72 = 212
442 = 2 × 13 × 17, sphenic number, sum of eight consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67 + 71)
A prime number, Sophie Germain prime,[16] Chen prime, Eisenstein prime with no imaginary part, Mertens function sets new low of -9, which stands until 659.
444 = 22 × 3 × 37, refactorable number,[19] Harshad number.
445 = 5 × 89
446 = 2 × 223, nontotient, self number[13]
447 = 3 × 149
448 = 26 × 7, untouchable number,[10] refactorable number,[19] Harshad number
A prime number, sum of five consecutive primes (79 + 83 + 89 + 97 + 101), Chen prime, Eisenstein prime with no imaginary part, Proth prime.[29] Also the largest number whose factorial is less than 101000
450 = 2 × 32 × 52, nontotient, sum of totient function for first 38 integers, refactorable number,[19] Harshad number,
451 = 11 × 41; 451 is a Wedderburn–Etherington number[30] and a centered decagonal number;[31] its reciprocal has period 10; 451 is the smallest number with this period reciprocal length.
452 = 22 × 113
453 = 3 × 151
454 = 2 × 227, nontotient, a Smith number[26]
455 = 5 × 7 × 13, sphenic number, tetrahedral number[33]
456 = 23 × 3 × 19, sum of a twin prime (227 + 229), sum of four consecutive primes (107 + 109 + 113 + 127), centered pentagonal number[34]
458 = 2 × 229, nontotient
459 = 33 × 17
460 = 22 × 5 × 23, centered triangular number,[11] dodecagonal number,[35] Harshad number, sum of twelve consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61)
A prime number, Chen prime, sexy prime with 467, Eisenstein prime with no imaginary part
462 = 2 × 3 × 7 × 11, binomial coefficient , sum of six consecutive primes (67 + 71 + 73 + 79 + 83 + 89), pronic number,[36] sparsely totient number[37]
A prime number, sum of seven consecutive primes (53 + 59 + 61 + 67 + 71 + 73 + 79), centered heptagonal number,[38]
464 = 24 × 29, primitive abundant number[39]
465 = 3 × 5 × 31, sphenic number, triangular number, member of the Padovan sequence,[40] Harshad number
466 = 2 × 233, noncototient
A prime number, safe prime,[41] sexy prime with 461, Chen prime, Eisenstein prime with no imaginary part
468 = 22 × 32 × 13, sum of ten consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59 + 61 + 67), refactorable number,[19] self number,[13] Harshad number
469 = 7 × 67, centered hexagonal number[42]
470 = 2 × 5 × 47, sphenic number, nontotient, noncototient
471 = 3 × 157, sum of three consecutive primes (151 + 157 + 163), perfect totient number[43]
472 = 23 × 59, nontotient, untouchable number,[10] refactorable number[19]
473 = 11 × 43, sum of five consecutive primes (83 + 89 + 97 + 101 + 103)
474 = 2 × 3 × 79, sphenic number, sum of eight consecutive primes (43 + 47 + 53 + 59 + 61 + 67 + 71 + 73), nontotient, noncototient, sum of totient function for first 39 integers, untouchable number,[10] nonagonal number[44]
475 = 52 × 19, 49-gonal number, member of the Mian–Chowla sequence.[4]
476 = 22 × 7 × 17, Harshad number
477 = 32 × 53, pentagonal number[20]
478 = 2 × 239
A prime number, safe prime,[41] sum of nine consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61 + 67 + 71), Chen prime, Eisenstein prime with no imaginary part, self number[13]
480 = 25 × 3 × 5, sum of a twin prime (239 + 241), sum of four consecutive primes (109 + 113 + 127 + 131), highly totient number,[22] refactorable number,[19] Harshad number
481 = 13 × 37, octagonal number,[9] centered square number,[18] Harshad number
482 = 2 × 241, nontotient, noncototient
483 = 3 × 7 × 23, sphenic number, Smith number[26]
484 = 22 × 112 = 222, nontotient
485 = 5 × 97
486 = 2 × 35, Harshad number, Perrin number[45]
A prime number, sum of three consecutive primes (157 + 163 + 167), Chen prime,
488 = 23 × 61, nontotient, refactorable number[19]
489 = 3 × 163, octahedral number[47]
490 = 2 × 5 × 72, noncototient, sum of totient function for first 40 integers, partition number (integer partitions of 19),[48] self number.[13]
A prime number, Sophie Germain prime,[16] Chen prime, Eisenstein prime with no imaginary part, strictly non-palindromic number[27]
492 = 22 × 3 × 41, sum of six consecutive primes (71 + 73 + 79 + 83 + 89 + 97), refactorable number,[19] member of a Ruth–Aaron pair with 493 under first definition
493 = 17 × 29, sum of seven consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83), member of a Ruth–Aaron pair with 492 under first definition
494 = 2 × 13 × 19, sphenic number, nontotient
496 is the third perfect number, a number whose divisors add up to the actual number (1+2+4+8+16+31+62+124+248=496).
497 = 7 × 71, sum of five consecutive primes (89 + 97 + 101 + 103 + 107)
498 = 2 × 3 × 83, sphenic number, untouchable number,[10] admirable number,[49] abundant number
A prime number, Chen prime
Any attempt to brew coffee with a teapot should result in the error code "418 I'm a teapot". The resulting entity body MAY be short and stout.
TEA-capable pots that are not provisioned to brew coffee may return either a status code of 503, indicating temporary unavailability of coffee, or a code of 418 as defined in the base HTCPCP specification to denote a more permanent indication that the pot is a teapot.