252756000 has 576 divisors, whose sum is σ = 1103880960. Its totient is φ = 53452800.

The previous prime is 252755981. The next prime is 252756011. The reversal of 252756000 is 657252.

252756000 is a `hidden beast` number, since 2 + 52 + 7 + 5 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4283971 + ... + 4284029.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 2^252756000 is an apocalyptic number.

252756000 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 252756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551940480).

252756000 is an abundant number, since it is smaller than the sum of its proper divisors (851124960).

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

252756000 is a wasteful number, since it uses less digits than its factorization.

252756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 252756000 is about 15898.3017961039. The cubic root of 252756000 is about 632.2669651401.

The spelling of 252756000 in words is "two hundred fifty-two million, seven hundred fifty-six thousand".