252682934400 has 1920 divisors, whose sum is σ = 1079855884800. Its totient is φ = 57729024000.

The previous prime is 252682934347. The next prime is 252682934401. The reversal of 252682934400 is 4439286252.

252682934400 is a `hidden beast` number, since 2 + 526 + 82 + 9 + 3 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (252682934401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4282761571 + ... + 4282761629.

It is an arithmetic number, because the mean of its divisors is an integer number (562424940).

Almost surely, 2^252682934400 is an apocalyptic number.

252682934400 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 252682934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539927942400).

252682934400 is an abundant number, since it is smaller than the sum of its proper divisors (827172950400).

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

252682934400 is a wasteful number, since it uses less digits than its factorization.

252682934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 252682934400 in words is "two hundred fifty-two billion, six hundred eighty-two million, nine hundred thirty-four thousand, four hundred".