957964900 has 18 divisors (see below), whose sum is σ = 2078784050. Its totient is φ = 383185920.

The previous prime is 957964897. The next prime is 957964913. The reversal of 957964900 is 9469759.

It can be written as a sum of positive squares in 3 ways, for example, as 78960996 + 879003904 = 8886^2 + 29648^2 .

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 5 ways as a sum of consecutive naturals, for example, 4789725 + ... + 4789924.

Almost surely, 2^957964900 is an apocalyptic number.

It is an amenable number.

957964900 is an abundant number, since it is smaller than the sum of its proper divisors (1120819150).

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

957964900 is a wasteful number, since it uses less digits than its factorization.

957964900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9579663 (or 9579656 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

The square root of 957964900 is about 30951.0080611278. The cubic root of 957964900 is about 985.7872548777.

The spelling of 957964900 in words is "nine hundred fifty-seven million, nine hundred sixty-four thousand, nine hundred".