957912480 has 240 divisors, whose sum is σ = 3863946240. Its totient is φ = 218930688.

The previous prime is 957912457. The next prime is 957912511. The reversal of 957912480 is 84219759.

957912480 is a `hidden beast` number, since 95 + 79 + 12 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85441 + ... + 95999.

It is an arithmetic number, because the mean of its divisors is an integer number (16099776).

Almost surely, 2^957912480 is an apocalyptic number.

957912480 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 957912480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931973120).

957912480 is an abundant number, since it is smaller than the sum of its proper divisors (2906033760).

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

957912480 is a wasteful number, since it uses less digits than its factorization.

957912480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10593 (or 10576 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 957912480 is about 30950.1612273668. The cubic root of 957912480 is about 985.7692737350.

The spelling of 957912480 in words is "nine hundred fifty-seven million, nine hundred twelve thousand, four hundred eighty".