252387360 has 192 divisors, whose sum is σ = 907804800. Its totient is φ = 65442816.

The previous prime is 252387341. The next prime is 252387371. The reversal of 252387360 is 63783252.

252387360 is a `hidden beast` number, since 2 + 523 + 8 + 73 + 60 = 666.

252387360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159051 + ... + 160629.

It is an arithmetic number, because the mean of its divisors is an integer number (4728150).

Almost surely, 2^252387360 is an apocalyptic number.

252387360 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 252387360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453902400).

252387360 is an abundant number, since it is smaller than the sum of its proper divisors (655417440).

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

252387360 is a wasteful number, since it uses less digits than its factorization.

252387360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 252387360 is about 15886.7038746242. The cubic root of 252387360 is about 631.9594323157.

Subtracting from 252387360 its product of nonzero digits (60480), we obtain a triangular number (252326880 = T₂₂₄₆₄).

The spelling of 252387360 in words is "two hundred fifty-two million, three hundred eighty-seven thousand, three hundred sixty".