957609408 has 56 divisors (see below), whose sum is σ = 2895632512. Its totient is φ = 273602304.

The previous prime is 957609397. The next prime is 957609409. The reversal of 957609408 is 804906759.

957609408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×957609408² = 1834031556580220928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957609409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354910 + ... + 357597.

Almost surely, 2^957609408 is an apocalyptic number.

It is an amenable number.

957609408 is an abundant number, since it is smaller than the sum of its proper divisors (1938023104).

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

957609408 is a wasteful number, since it uses less digits than its factorization.

957609408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712529 (or 712519 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 957609408 is about 30945.2647104529. The cubic root of 957609408 is about 985.6653009174.

The spelling of 957609408 in words is "nine hundred fifty-seven million, six hundred nine thousand, four hundred eight".