952956900 has 315 divisors, whose sum is σ = 3603957049. Its totient is φ = 217818720.

The previous prime is 952956889. The next prime is 952956929. The reversal of 952956900 is 9659259.

The square root of 952956900 is 30870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 343064484 + 609892416 = 18522^2 + 24696^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is a super-2 number, since 2×952956900² = 1816253706515220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 136136697 + ... + 136136703.

Almost surely, 2^952956900 is an apocalyptic number.

952956900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

952956900 is the 30870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952956900

952956900 is an abundant number, since it is smaller than the sum of its proper divisors (2651000149).

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

952956900 is an frugal number, since it uses more digits than its factorization.

952956900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The cubic root of 952956900 is about 984.0664366208.

The spelling of 952956900 in words is "nine hundred fifty-two million, nine hundred fifty-six thousand, nine hundred".