52976800 has 36 divisors (see below), whose sum is σ = 129331566. Its totient is φ = 21190400.

The previous prime is 52976783. The next prime is 52976821. The reversal of 52976800 is 867925.

It can be written as a sum of positive squares in 3 ways, for example, as 45643536 + 7333264 = 6756^2 + 2708^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 52976800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32311 + ... + 33910.

Almost surely, 2^52976800 is an apocalyptic number.

52976800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52976800 is an abundant number, since it is smaller than the sum of its proper divisors (76354766).

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

52976800 is a wasteful number, since it uses less digits than its factorization.

52976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66241 (or 66228 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 52976800 is about 7278.5163323304. The cubic root of 52976800 is about 375.5737587251.

The spelling of 52976800 in words is "fifty-two million, nine hundred seventy-six thousand, eight hundred".