252509360 has 40 divisors (see below), whose sum is σ = 587774880. Its totient is φ = 100884992.

The previous prime is 252509357. The next prime is 252509371. The reversal of 252509360 is 63905252.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104324 + ... + 106716.

It is an arithmetic number, because the mean of its divisors is an integer number (14694372).

Almost surely, 2^252509360 is an apocalyptic number.

252509360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252509360 is an abundant number, since it is smaller than the sum of its proper divisors (335265520).

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

252509360 is a wasteful number, since it uses less digits than its factorization.

252509360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 252509360 is about 15890.5430995923. The cubic root of 252509360 is about 632.0612422627.

The spelling of 252509360 in words is "two hundred fifty-two million, five hundred nine thousand, three hundred sixty".