252816024 has 32 divisors (see below), whose sum is σ = 633784320. Its totient is φ = 84039456.

The previous prime is 252816007. The next prime is 252816041. The reversal of 252816024 is 420618252.

It is an interprime number because it is at equal distance from previous prime (252816007) and next prime (252816041).

It is a junction number, because it is equal to n+sod(n) for n = 252815982 and 252816000.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5544 + ... + 23159.

It is an arithmetic number, because the mean of its divisors is an integer number (19805760).

Almost surely, 2^252816024 is an apocalyptic number.

252816024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252816024 is an abundant number, since it is smaller than the sum of its proper divisors (380968296).

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

252816024 is a wasteful number, since it uses less digits than its factorization.

252816024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29079 (or 29075 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 252816024 is about 15900.1894328338. The cubic root of 252816024 is about 632.3170110190.

The spelling of 252816024 in words is "two hundred fifty-two million, eight hundred sixteen thousand, twenty-four".