252580800 has 168 divisors, whose sum is σ = 838486512. Its totient is φ = 66560000.

The previous prime is 252580799. The next prime is 252580819. The reversal of 252580800 is 8085252.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 484540 + ... + 485060.

Almost surely, 2^252580800 is an apocalyptic number.

252580800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419243256).

252580800 is an abundant number, since it is smaller than the sum of its proper divisors (585905712).

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

252580800 is a wasteful number, since it uses less digits than its factorization.

252580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 252580800 is about 15892.7908184812. The cubic root of 252580800 is about 632.1208442743.

The spelling of 252580800 in words is "two hundred fifty-two million, five hundred eighty thousand, eight hundred".