252311306400 has 1440 divisors, whose sum is σ = 1022142578688. Its totient is φ = 60354201600.

The previous prime is 252311306399. The next prime is 252311306419. The reversal of 252311306400 is 4603113252.

252311306400 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 1 + 13 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1986703137 + ... + 1986703263.

Almost surely, 2^252311306400 is an apocalyptic number.

252311306400 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 252311306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511071289344).

252311306400 is an abundant number, since it is smaller than the sum of its proper divisors (769831272288).

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

252311306400 is a wasteful number, since it uses less digits than its factorization.

252311306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 252311306400 its reverse (4603113252), we get a palindrome (256914419652).

The spelling of 252311306400 in words is "two hundred fifty-two billion, three hundred eleven million, three hundred six thousand, four hundred".