252842688 has 112 divisors (see below), whose sum is σ = 849538560. Its totient is φ = 72237312.

The previous prime is 252842647. The next prime is 252842699. The reversal of 252842688 is 886248252.

252842688 is a `hidden beast` number, since 2 + 528 + 42 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1645 + ... + 22547.

Almost surely, 2^252842688 is an apocalyptic number.

252842688 is a gapful number since it is divisible by the number (28) 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 252842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424769280).

252842688 is an abundant number, since it is smaller than the sum of its proper divisors (596695872).

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

252842688 is a wasteful number, since it uses less digits than its factorization.

252842688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20931 (or 20915 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 252842688 is about 15901.0278913031. The cubic root of 252842688 is about 632.3392399740.

It can be divided in two parts, 25284 and 2688, that added together give a palindrome (27972).

The spelling of 252842688 in words is "two hundred fifty-two million, eight hundred forty-two thousand, six hundred eighty-eight".