252806400 has 864 divisors, whose sum is σ = 1216588800. Its totient is φ = 49766400.

The previous prime is 252806377. The next prime is 252806401. The reversal of 252806400 is 4608252.

252806400 is a `hidden beast` number, since 252 + 8 + 0 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×252806400² = 127822151761920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252806401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13305591 + ... + 13305609.

Almost surely, 2^252806400 is an apocalyptic number.

252806400 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 252806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608294400).

252806400 is an abundant number, since it is smaller than the sum of its proper divisors (963782400).

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

252806400 is a wasteful number, since it uses less digits than its factorization.

252806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

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

The square root of 252806400 is about 15899.8867920498. The cubic root of 252806400 is about 632.3089874029.

The spelling of 252806400 in words is "two hundred fifty-two million, eight hundred six thousand, four hundred".