252903680 has 72 divisors (see below), whose sum is σ = 637728000. Its totient is φ = 95827968.

The previous prime is 252903659. The next prime is 252903691. The reversal of 252903680 is 86309252.

It is a self number, because there is not a number n which added to its sum of digits gives 252903680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19121 + ... + 29519.

Almost surely, 2^252903680 is an apocalyptic number.

252903680 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 252903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318864000).

252903680 is an abundant number, since it is smaller than the sum of its proper divisors (384824320).

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

252903680 is a wasteful number, since it uses less digits than its factorization.

252903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10439 (or 10425 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 252903680 is about 15902.9456390947. The cubic root of 252903680 is about 632.3900812494.

The spelling of 252903680 in words is "two hundred fifty-two million, nine hundred three thousand, six hundred eighty".