252713384 has 96 divisors (see below), whose sum is σ = 608212800. Its totient is φ = 97332480.

The previous prime is 252713359. The next prime is 252713389. The reversal of 252713384 is 483317252.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (252713389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443852 + ... + 444420.

It is an arithmetic number, because the mean of its divisors is an integer number (6335550).

Almost surely, 2^252713384 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 252713384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304106400).

252713384 is an abundant number, since it is smaller than the sum of its proper divisors (355499416).

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

252713384 is a wasteful number, since it uses less digits than its factorization.

252713384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 692 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

The square root of 252713384 is about 15896.9614706711. The cubic root of 252713384 is about 632.2314286233.

The spelling of 252713384 in words is "two hundred fifty-two million, seven hundred thirteen thousand, three hundred eighty-four".