957204864 has 480 divisors, whose sum is σ = 3611269200. Its totient is φ = 246343680.

The previous prime is 957204851. The next prime is 957204877. The reversal of 957204864 is 468402759.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (957204851) and next prime (957204877).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8781642 + ... + 8781750.

Almost surely, 2^957204864 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 957204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805634600).

957204864 is an abundant number, since it is smaller than the sum of its proper divisors (2654064336).

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

957204864 is a wasteful number, since it uses less digits than its factorization.

957204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 957204864 is about 30938.7275756454. The cubic root of 957204864 is about 985.5264826116.

The spelling of 957204864 in words is "nine hundred fifty-seven million, two hundred four thousand, eight hundred sixty-four".