252708456 has 256 divisors, whose sum is σ = 866396160. Its totient is φ = 59304960.

The previous prime is 252708437. The next prime is 252708479. The reversal of 252708456 is 654807252.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1609530 + ... + 1609686.

It is an arithmetic number, because the mean of its divisors is an integer number (3384360).

Almost surely, 2^252708456 is an apocalyptic number.

252708456 is a gapful number since it is divisible by the number (26) 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 252708456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433198080).

252708456 is an abundant number, since it is smaller than the sum of its proper divisors (613687704).

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

252708456 is a wasteful number, since it uses less digits than its factorization.

252708456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 252708456 is about 15896.8064717414. The cubic root of 252708456 is about 632.2273190181.

The spelling of 252708456 in words is "two hundred fifty-two million, seven hundred eight thousand, four hundred fifty-six".