252057600 has 216 divisors, whose sum is σ = 904356180. Its totient is φ = 67092480.

The previous prime is 252057599. The next prime is 252057601. The reversal of 252057600 is 6750252.

252057600 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 57 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (252057599) and next prime (252057601).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252057601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460527 + ... + 461073.

Almost surely, 2^252057600 is an apocalyptic number.

252057600 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 252057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452178090).

252057600 is an abundant number, since it is smaller than the sum of its proper divisors (652298580).

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

252057600 is a wasteful number, since it uses less digits than its factorization.

252057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 557 counting only the distinct ones).

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

The square root of 252057600 is about 15876.3219921996. The cubic root of 252057600 is about 631.6840807440.

The spelling of 252057600 in words is "two hundred fifty-two million, fifty-seven thousand, six hundred".