957964400 has 120 divisors (see below), whose sum is σ = 2380896720. Its totient is φ = 370206720.

The previous prime is 957964391. The next prime is 957964411. The reversal of 957964400 is 4469759.

It is a Cunningham number, because it is equal to 30951²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1547291 + ... + 1547909.

It is an arithmetic number, because the mean of its divisors is an integer number (19840806).

Almost surely, 2^957964400 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 957964400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190448360).

957964400 is an abundant number, since it is smaller than the sum of its proper divisors (1422932320).

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

957964400 is a wasteful number, since it uses less digits than its factorization.

957964400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 957964400 is about 30950.9999838454. Note that the first 4 decimals coincide. The cubic root of 957964400 is about 985.7870833704.

The spelling of 957964400 in words is "nine hundred fifty-seven million, nine hundred sixty-four thousand, four hundred".