957359360 has 144 divisors (see below), whose sum is σ = 2472422400. Its totient is φ = 354140160.

The previous prime is 957359341. The next prime is 957359363. The reversal of 957359360 is 63953759.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957359363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 912116 + ... + 913164.

It is an arithmetic number, because the mean of its divisors is an integer number (17169600).

Almost surely, 2^957359360 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 957359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236211200).

957359360 is an abundant number, since it is smaller than the sum of its proper divisors (1515063040).

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

957359360 is a wasteful number, since it uses less digits than its factorization.

957359360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 765450, while the sum is 47.

The square root of 957359360 is about 30941.2242808846. The cubic root of 957359360 is about 985.5795021599.

The spelling of 957359360 in words is "nine hundred fifty-seven million, three hundred fifty-nine thousand, three hundred sixty".