252552384 has 112 divisors (see below), whose sum is σ = 848563200. Its totient is φ = 72154368.

The previous prime is 252552379. The next prime is 252552407. The reversal of 252552384 is 483255252.

It is a happy number.

252552384 is a `hidden beast` number, since 2 + 52 + 5 + 523 + 84 = 666.

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

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

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, 1657 + ... + 22535.

Almost surely, 2^252552384 is an apocalyptic number.

252552384 is a gapful number since it is divisible by the number (24) 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 252552384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424281600).

252552384 is an abundant number, since it is smaller than the sum of its proper divisors (596010816).

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

252552384 is a wasteful number, since it uses less digits than its factorization.

252552384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20907 (or 20891 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 252552384 is about 15891.8968030880. The cubic root of 252552384 is about 632.0971383031.

The spelling of 252552384 in words is "two hundred fifty-two million, five hundred fifty-two thousand, three hundred eighty-four".