957413952 has 336 divisors, whose sum is σ = 3270097600. Its totient is φ = 273715200.

The previous prime is 957413911. The next prime is 957413957. The reversal of 957413952 is 259314759.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 957413898 and 957413907.

It is not an unprimeable number, because it can be changed into a prime (957413957) 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, 3972552 + ... + 3972792.

Almost surely, 2^957413952 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 957413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635048800).

957413952 is an abundant number, since it is smaller than the sum of its proper divisors (2312683648).

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

957413952 is a wasteful number, since it uses less digits than its factorization.

957413952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 276 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 957413952 is about 30942.1064570594. The cubic root of 957413952 is about 985.5982355411.

The spelling of 957413952 in words is "nine hundred fifty-seven million, four hundred thirteen thousand, nine hundred fifty-two".