252460800 has 270 divisors, whose sum is σ = 935379368. Its totient is φ = 67184640.

The previous prime is 252460799. The next prime is 252460837. The reversal of 252460800 is 8064252.

252460800 is a `hidden beast` number, since 2 + 52 + 4 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 518157 + ... + 518643.

Almost surely, 2^252460800 is an apocalyptic number.

252460800 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 252460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467689684).

252460800 is an abundant number, since it is smaller than the sum of its proper divisors (682918568).

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

252460800 is an equidigital number, since it uses as much as digits as its factorization.

252460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 252460800 is about 15889.0150733140. The cubic root of 252460800 is about 632.0207224952.

The spelling of 252460800 in words is "two hundred fifty-two million, four hundred sixty thousand, eight hundred".