252330864 has 80 divisors (see below), whose sum is σ = 694241280. Its totient is φ = 78699520.

The previous prime is 252330829. The next prime is 252330889. The reversal of 252330864 is 468033252.

It is a happy number.

It is a congruent number.

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, 155047 + ... + 156665.

It is an arithmetic number, because the mean of its divisors is an integer number (8678016).

Almost surely, 2^252330864 is an apocalyptic number.

252330864 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 252330864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347120640).

252330864 is an abundant number, since it is smaller than the sum of its proper divisors (441910416).

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

252330864 is a wasteful number, since it uses less digits than its factorization.

252330864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 252330864 is about 15884.9256844343. The cubic root of 252330864 is about 631.9122748505.

The spelling of 252330864 in words is "two hundred fifty-two million, three hundred thirty thousand, eight hundred sixty-four".