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400421504 = 2771943547
BaseRepresentation
bin10111110111011…
…111001010000000
31000220110112001002
4113313133022000
51310001442004
6103422231132
712631345430
oct2767371200
91026415032
10400421504
1119603366a
12b21254a8
1364c5b402
143b2742c0
152524861e
hex17ddf280

400421504 has 128 divisors (see below), whose sum is σ = 983769600. Its totient is φ = 158505984.

The previous prime is 400421501. The next prime is 400421509. The reversal of 400421504 is 405124004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400421501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 731759 + ... + 732305.

It is an arithmetic number, because the mean of its divisors is an integer number (7685700).

Almost surely, 2400421504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491884800).

400421504 is an abundant number, since it is smaller than the sum of its proper divisors (583348096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400421504 is a wasteful number, since it uses less digits than its factorization.

400421504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 400421504 is about 20010.5348254363. The cubic root of 400421504 is about 737.0650145437.

Adding to 400421504 its reverse (405124004), we get a palindrome (805545508).

The spelling of 400421504 in words is "four hundred million, four hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 43 56 64 76 86 112 128 133 152 172 224 266 301 304 344 448 532 547 602 608 688 817 896 1064 1094 1204 1216 1376 1634 2128 2188 2408 2432 2752 3268 3829 4256 4376 4816 5504 5719 6536 7658 8512 8752 9632 10393 11438 13072 15316 17024 17504 19264 20786 22876 23521 26144 30632 35008 38528 41572 45752 47042 52288 61264 70016 72751 83144 91504 94084 104576 122528 145502 164647 166288 183008 188168 245056 291004 329294 332576 366016 376336 446899 490112 582008 658588 665152 732032 752672 893798 1164016 1317176 1330304 1505344 1787596 2328032 2634352 3010688 3128293 3575192 4656064 5268704 6256586 7150384 9312128 10537408 12513172 14300768 21074816 25026344 28601536 50052688 57203072 100105376 200210752 400421504