252316080 has 160 divisors (see below), whose sum is σ = 874944000. Its totient is φ = 66832128.

The previous prime is 252316039. The next prime is 252316081. The reversal of 252316080 is 80613252.

252316080 is a `hidden beast` number, since 2 + 52 + 3 + 1 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (252316081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429547 + ... + 430133.

It is an arithmetic number, because the mean of its divisors is an integer number (5468400).

Almost surely, 2^252316080 is an apocalyptic number.

252316080 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 252316080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437472000).

252316080 is an abundant number, since it is smaller than the sum of its proper divisors (622627920).

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

252316080 is a wasteful number, since it uses less digits than its factorization.

252316080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 252316080 is about 15884.4603307761. The cubic root of 252316080 is about 631.8999334172.

The spelling of 252316080 in words is "two hundred fifty-two million, three hundred sixteen thousand, eighty".