957472900 has 18 divisors (see below), whose sum is σ = 2077716410. Its totient is φ = 382989120.

The previous prime is 957472889. The next prime is 957472907. The reversal of 957472900 is 9274759.

It can be written as a sum of positive squares in 3 ways, for example, as 65536 + 957407364 = 256^2 + 30942^2 .

It is a super-3 number, since 3×957472900³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957472907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4787265 + ... + 4787464.

Almost surely, 2^957472900 is an apocalyptic number.

It is an amenable number.

957472900 is an abundant number, since it is smaller than the sum of its proper divisors (1120243510).

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

957472900 is a wasteful number, since it uses less digits than its factorization.

957472900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9574743 (or 9574736 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 957472900 is about 30943.0589955163. The cubic root of 957472900 is about 985.6184628949.

The spelling of 957472900 in words is "nine hundred fifty-seven million, four hundred seventy-two thousand, nine hundred".