252054800 has 60 divisors (see below), whose sum is σ = 625126656. Its totient is φ = 97564800.

The previous prime is 252054763. The next prime is 252054811. The reversal of 252054800 is 8450252.

It is a self number, because there is not a number n which added to its sum of digits gives 252054800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2237 + ... + 22563.

Almost surely, 2^252054800 is an apocalyptic number.

252054800 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 252054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312563328).

252054800 is an abundant number, since it is smaller than the sum of its proper divisors (373071856).

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

252054800 is a wasteful number, since it uses less digits than its factorization.

252054800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20376 (or 20365 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 252054800 is about 15876.2338103216. The cubic root of 252054800 is about 631.6817416993.

The spelling of 252054800 in words is "two hundred fifty-two million, fifty-four thousand, eight hundred".