957468800 has 72 divisors (see below), whose sum is σ = 2369579085. Its totient is φ = 382287360.

The previous prime is 957468791. The next prime is 957468847. The reversal of 957468800 is 8864759.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 938319424 + 19149376 = 30632^2 + 4376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=21880.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1750127 + ... + 1750673.

Almost surely, 2^957468800 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 957468800

957468800 is an abundant number, since it is smaller than the sum of its proper divisors (1412110285).

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

957468800 is an frugal number, since it uses more digits than its factorization.

957468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 957468800 is about 30942.9927447233. The cubic root of 957468800 is about 985.6170560522.

The spelling of 957468800 in words is "nine hundred fifty-seven million, four hundred sixty-eight thousand, eight hundred".