252972160 has 64 divisors (see below), whose sum is σ = 691168320. Its totient is φ = 86731776.

The previous prime is 252972119. The next prime is 252972163. The reversal of 252972160 is 61279252.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (252972163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23754 + ... + 32713.

It is an arithmetic number, because the mean of its divisors is an integer number (10799505).

Almost surely, 2^252972160 is an apocalyptic number.

252972160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252972160 is an abundant number, since it is smaller than the sum of its proper divisors (438196160).

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

252972160 is an equidigital number, since it uses as much as digits as its factorization.

252972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56493 (or 56481 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 252972160 is about 15905.0985536085. The cubic root of 252972160 is about 632.4471545782.

The spelling of 252972160 in words is "two hundred fifty-two million, nine hundred seventy-two thousand, one hundred sixty".