252334508400 has 1080 divisors, whose sum is σ = 1013983850880. Its totient is φ = 57913989120.

The previous prime is 252334508353. The next prime is 252334508407. The reversal of 252334508400 is 4805433252.

252334508400 is a `hidden beast` number, since 2 + 523 + 3 + 4 + 50 + 84 + 0 + 0 = 666.

252334508400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252334508407) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 959446669 + ... + 959446931.

It is an arithmetic number, because the mean of its divisors is an integer number (938873936).

Almost surely, 2^252334508400 is an apocalyptic number.

252334508400 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 252334508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506991925440).

252334508400 is an abundant number, since it is smaller than the sum of its proper divisors (761649342480).

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

252334508400 is a wasteful number, since it uses less digits than its factorization.

252334508400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 252334508400 in words is "two hundred fifty-two billion, three hundred thirty-four million, five hundred eight thousand, four hundred".