457487638560 has 144 divisors (see below), whose sum is σ = 1611537258240. Its totient is φ = 118061314560.

The previous prime is 457487638511. The next prime is 457487638589. The reversal of 457487638560 is 65836784754.

457487638560 is a `hidden beast` number, since 4 + 5 + 7 + 4 + 8 + 7 + 63 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5079550 + ... + 5168829.

It is an arithmetic number, because the mean of its divisors is an integer number (11191230960).

Almost surely, 2^457487638560 is an apocalyptic number.

457487638560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457487638560 is an abundant number, since it is smaller than the sum of its proper divisors (1154049619680).

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

457487638560 is a wasteful number, since it uses less digits than its factorization.

457487638560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248431 (or 10248420 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 457487638560 in words is "four hundred fifty-seven billion, four hundred eighty-seven million, six hundred thirty-eight thousand, five hundred sixty".