252213864 has 64 divisors (see below), whose sum is σ = 724723200. Its totient is φ = 71649984.

The previous prime is 252213859. The next prime is 252213893. The reversal of 252213864 is 468312252.

252213864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252213864² = 127223666387620992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25879 + ... + 34265.

It is an arithmetic number, because the mean of its divisors is an integer number (11323800).

Almost surely, 2^252213864 is an apocalyptic number.

252213864 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 252213864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362361600).

252213864 is an abundant number, since it is smaller than the sum of its proper divisors (472509336).

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

252213864 is a wasteful number, since it uses less digits than its factorization.

252213864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582 (or 8578 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 252213864 is about 15881.2425206594. The cubic root of 252213864 is about 631.8145920369.

The spelling of 252213864 in words is "two hundred fifty-two million, two hundred thirteen thousand, eight hundred sixty-four".