252284200 has 96 divisors (see below), whose sum is σ = 692098560. Its totient is φ = 83692800.

The previous prime is 252284191. The next prime is 252284239. The reversal of 252284200 is 2482252.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 40494 + ... + 46306.

It is an arithmetic number, because the mean of its divisors is an integer number (7209360).

Almost surely, 2^252284200 is an apocalyptic number.

252284200 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 252284200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346049280).

252284200 is an abundant number, since it is smaller than the sum of its proper divisors (439814360).

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

252284200 is a wasteful number, since it uses less digits than its factorization.

252284200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5867 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 252284200 is about 15883.4568025981. The cubic root of 252284200 is about 631.8733188916.

The spelling of 252284200 in words is "two hundred fifty-two million, two hundred eighty-four thousand, two hundred".