252903924 has 96 divisors (see below), whose sum is σ = 807018240. Its totient is φ = 66697344.

The previous prime is 252903887. The next prime is 252903947. The reversal of 252903924 is 429309252.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3039 + ... + 22694.

It is an arithmetic number, because the mean of its divisors is an integer number (8406440).

Almost surely, 2^252903924 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 252903924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403509120).

252903924 is an abundant number, since it is smaller than the sum of its proper divisors (554114316).

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

252903924 is a wasteful number, since it uses less digits than its factorization.

252903924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25766 (or 25758 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 252903924 is about 15902.9533106276. The cubic root of 252903924 is about 632.3902846248.

The spelling of 252903924 in words is "two hundred fifty-two million, nine hundred three thousand, nine hundred twenty-four".