957456864 has 432 divisors, whose sum is σ = 3623347728. Its totient is φ = 236888064.

The previous prime is 957456823. The next prime is 957456883. The reversal of 957456864 is 468654759.

957456864 is a `hidden beast` number, since 9 + 5 + 74 + 568 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 957456864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3118599 + ... + 3118905.

It is an arithmetic number, because the mean of its divisors is an integer number (8387379).

Almost surely, 2^957456864 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 957456864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811673864).

957456864 is an abundant number, since it is smaller than the sum of its proper divisors (2665890864).

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

957456864 is a wasteful number, since it uses less digits than its factorization.

957456864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 349 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 957456864 is about 30942.7998733146. The cubic root of 957456864 is about 985.6129604012.

The spelling of 957456864 in words is "nine hundred fifty-seven million, four hundred fifty-six thousand, eight hundred sixty-four".