957925440 has 336 divisors, whose sum is σ = 3479304192. Its totient is φ = 250822656.

The previous prime is 957925433. The next prime is 957925447. The reversal of 957925440 is 44529759.

It is an interprime number because it is at equal distance from previous prime (957925433) and next prime (957925447).

It is a super-2 number, since 2×957925440² = 1835242297198387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (957925447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7542657 + ... + 7542783.

It is an arithmetic number, because the mean of its divisors is an integer number (10355072).

Almost surely, 2^957925440 is an apocalyptic number.

957925440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 957925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739652096).

957925440 is an abundant number, since it is smaller than the sum of its proper divisors (2521378752).

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

957925440 is a wasteful number, since it uses less digits than its factorization.

957925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 957925440 is about 30950.3705955195. The cubic root of 957925440 is about 985.7737193437.

The spelling of 957925440 in words is "nine hundred fifty-seven million, nine hundred twenty-five thousand, four hundred forty".