252362880 has 384 divisors, whose sum is σ = 1088380800. Its totient is φ = 52346880.

The previous prime is 252362879. The next prime is 252362927. The reversal of 252362880 is 88263252.

252362880 = 2115² + 2116² + ... + 2169².

252362880 is a `hidden beast` number, since 2 + 5 + 23 + 628 + 8 + 0 = 666.

252362880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443236 + ... + 443804.

It is an arithmetic number, because the mean of its divisors is an integer number (2834325).

Almost surely, 2^252362880 is an apocalyptic number.

252362880 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 252362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544190400).

252362880 is an abundant number, since it is smaller than the sum of its proper divisors (836017920).

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

252362880 is a wasteful number, since it uses less digits than its factorization.

252362880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 252362880 is about 15885.9334003388. The cubic root of 252362880 is about 631.9389996137.

The spelling of 252362880 in words is "two hundred fifty-two million, three hundred sixty-two thousand, eight hundred eighty".