252714264 has 64 divisors (see below), whose sum is σ = 691130880. Its totient is φ = 76368000.

The previous prime is 252714251. The next prime is 252714313. The reversal of 252714264 is 462417252.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 112674 + ... + 114894.

It is an arithmetic number, because the mean of its divisors is an integer number (10798920).

Almost surely, 2^252714264 is an apocalyptic number.

252714264 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 252714264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345565440).

252714264 is an abundant number, since it is smaller than the sum of its proper divisors (438416616).

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

252714264 is a wasteful number, since it uses less digits than its factorization.

252714264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2668 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 252714264 is about 15896.9891488923. The cubic root of 252714264 is about 632.2321624758.

The spelling of 252714264 in words is "two hundred fifty-two million, seven hundred fourteen thousand, two hundred sixty-four".