457668864 has 54 divisors (see below), whose sum is σ = 1319578806. Its totient is φ = 152555520.

The previous prime is 457668863. The next prime is 457668907. The reversal of 457668864 is 468866754.

457668864 is a `hidden beast` number, since 4 + 576 + 6 + 8 + 8 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 446054400 + 11614464 = 21120^2 + 3408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 457668864.

It is not an unprimeable number, because it can be changed into a prime (457668863) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 97017 + ... + 101624.

Almost surely, 2^457668864 is an apocalyptic number.

It is an amenable number.

457668864 is an abundant number, since it is smaller than the sum of its proper divisors (861909942).

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

457668864 is a wasteful number, since it uses less digits than its factorization.

457668864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198663 (or 198646 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 457668864 is about 21393.1966755789. The cubic root of 457668864 is about 770.6380633507.

The spelling of 457668864 in words is "four hundred fifty-seven million, six hundred sixty-eight thousand, eight hundred sixty-four".