252927360 has 640 divisors, whose sum is σ = 1119666240. Its totient is φ = 53084160.

The previous prime is 252927359. The next prime is 252927371. The reversal of 252927360 is 63729252.

252927360 is a `hidden beast` number, since 2 + 5 + 292 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6168940 + ... + 6168980.

Almost surely, 2^252927360 is an apocalyptic number.

252927360 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 252927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559833120).

252927360 is an abundant number, since it is smaller than the sum of its proper divisors (866738880).

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

252927360 is a wasteful number, since it uses less digits than its factorization.

252927360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 252927360 is about 15903.6901378265. The cubic root of 252927360 is about 632.4098180516.

The spelling of 252927360 in words is "two hundred fifty-two million, nine hundred twenty-seven thousand, three hundred sixty".