252556488 has 128 divisors (see below), whose sum is σ = 750816000. Its totient is φ = 78382080.

The previous prime is 252556483. The next prime is 252556489. The reversal of 252556488 is 884655252.

It is a happy number.

252556488 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 564 + 88 = 666.

252556488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252556481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399933 + ... + 400563.

It is an arithmetic number, because the mean of its divisors is an integer number (5865750).

Almost surely, 2^252556488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252556488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375408000).

252556488 is an abundant number, since it is smaller than the sum of its proper divisors (498259512).

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

252556488 is a wasteful number, since it uses less digits than its factorization.

252556488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 762 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 252556488 is about 15892.0259249726. The cubic root of 252556488 is about 632.1005621639.

The spelling of 252556488 in words is "two hundred fifty-two million, five hundred fifty-six thousand, four hundred eighty-eight".