252045168 has 80 divisors (see below), whose sum is σ = 673468800. Its totient is φ = 81181440.

The previous prime is 252045139. The next prime is 252045181. The reversal of 252045168 is 861540252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172023 + ... + 173481.

It is an arithmetic number, because the mean of its divisors is an integer number (8418360).

Almost surely, 2^252045168 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 252045168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336734400).

252045168 is an abundant number, since it is smaller than the sum of its proper divisors (421423632).

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

252045168 is a wasteful number, since it uses less digits than its factorization.

252045168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 252045168 is about 15875.9304609210. The cubic root of 252045168 is about 631.6736952533.

The spelling of 252045168 in words is "two hundred fifty-two million, forty-five thousand, one hundred sixty-eight".