457052688 has 60 divisors (see below), whose sum is σ = 1334736000. Its totient is φ = 145725888.

The previous prime is 457052639. The next prime is 457052723. The reversal of 457052688 is 886250754.

457052688 is a `hidden beast` number, since 45 + 7 + 0 + 526 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65688 + ... + 72311.

It is an arithmetic number, because the mean of its divisors is an integer number (22245600).

Almost surely, 2^457052688 is an apocalyptic number.

457052688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

457052688 is an abundant number, since it is smaller than the sum of its proper divisors (877683312).

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

457052688 is a wasteful number, since it uses less digits than its factorization.

457052688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138036 (or 138027 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 457052688 is about 21378.7906112577. The cubic root of 457052688 is about 770.2920621417.

The spelling of 457052688 in words is "four hundred fifty-seven million, fifty-two thousand, six hundred eighty-eight".