252924192 has 72 divisors (see below), whose sum is σ = 750544704. Its totient is φ = 80640384.

The previous prime is 252924187. The next prime is 252924197. The reversal of 252924192 is 291429252.

252924192 is a `hidden beast` number, since 2 + 529 + 2 + 41 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (252924187) and next prime (252924197).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252924197) 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 11 ways as a sum of consecutive naturals, for example, 12468 + ... + 25715.

It is an arithmetic number, because the mean of its divisors is an integer number (10424232).

Almost surely, 2^252924192 is an apocalyptic number.

It is an amenable number.

252924192 is an abundant number, since it is smaller than the sum of its proper divisors (497620512).

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

252924192 is a wasteful number, since it uses less digits than its factorization.

252924192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38222 (or 38211 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 252924192 is about 15903.5905379886. The cubic root of 252924192 is about 632.4071776589.

It can be divided in two parts, 252924 and 192, that added together give a triangular number (253116 = T₇₁₁).

The spelling of 252924192 in words is "two hundred fifty-two million, nine hundred twenty-four thousand, one hundred ninety-two".