252806144 has 44 divisors (see below), whose sum is σ = 507787008. Its totient is φ = 125798400.

The previous prime is 252806129. The next prime is 252806189. The reversal of 252806144 is 441608252.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 252806144.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 277049 + ... + 277959.

Almost surely, 2^252806144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253893504).

252806144 is an abundant number, since it is smaller than the sum of its proper divisors (254980864).

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

252806144 is an equidigital number, since it uses as much as digits as its factorization.

252806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 252806144 is about 15899.8787416760. The cubic root of 252806144 is about 632.3087739706.

The spelling of 252806144 in words is "two hundred fifty-two million, eight hundred six thousand, one hundred forty-four".