252339360 has 384 divisors, whose sum is σ = 1005903360. Its totient is φ = 51757056.

The previous prime is 252339359. The next prime is 252339377. The reversal of 252339360 is 63933252.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2314986 + ... + 2315094.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2^252339360 is an apocalyptic number.

252339360 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 252339360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502951680).

252339360 is an abundant number, since it is smaller than the sum of its proper divisors (753564000).

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

252339360 is a wasteful number, since it uses less digits than its factorization.

252339360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 252339360 is about 15885.1931055307. The cubic root of 252339360 is about 631.9193669495.

The spelling of 252339360 in words is "two hundred fifty-two million, three hundred thirty-nine thousand, three hundred sixty".