957051432 has 72 divisors (see below), whose sum is σ = 2735690490. Its totient is φ = 302218560.

The previous prime is 957051421. The next prime is 957051463. The reversal of 957051432 is 234150759.

957051432 is a `hidden beast` number, since 9 + 570 + 51 + 4 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 871784676 + 85266756 = 29526^2 + 9234^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7582 + ... + 44402.

Almost surely, 2^957051432 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 957051432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367845245).

957051432 is an abundant number, since it is smaller than the sum of its proper divisors (1778639058).

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

957051432 is a wasteful number, since it uses less digits than its factorization.

957051432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36871 (or 36845 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 957051432 is about 30936.2478655703. The cubic root of 957051432 is about 985.4738225577.

The spelling of 957051432 in words is "nine hundred fifty-seven million, fifty-one thousand, four hundred thirty-two".