957965472 has 144 divisors (see below), whose sum is σ = 2859816960. Its totient is φ = 303782400.

The previous prime is 957965461. The next prime is 957965509. The reversal of 957965472 is 274569759.

957965472 is a `hidden beast` number, since 9 + 5 + 7 + 96 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543729 + ... + 545487.

It is an arithmetic number, because the mean of its divisors is an integer number (19859840).

Almost surely, 2^957965472 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 957965472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429908480).

957965472 is an abundant number, since it is smaller than the sum of its proper divisors (1901851488).

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

957965472 is a wasteful number, since it uses less digits than its factorization.

957965472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1856 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The square root of 957965472 is about 30951.0173015363. The cubic root of 957965472 is about 985.7874510818.

The spelling of 957965472 in words is "nine hundred fifty-seven million, nine hundred sixty-five thousand, four hundred seventy-two".