252566928 has 60 divisors (see below), whose sum is σ = 708062940. Its totient is φ = 84043008.

The previous prime is 252566927. The next prime is 252566953. The reversal of 252566928 is 829665252.

It can be written as a sum of positive squares in 2 ways, for example, as 13307904 + 239259024 = 3648^2 + 15468^2 .

It is a super-3 number, since 3×252566928³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (252566927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110178 + ... + 112446.

It is an arithmetic number, because the mean of its divisors is an integer number (11801049).

Almost surely, 2^252566928 is an apocalyptic number.

It is an amenable number.

252566928 is an abundant number, since it is smaller than the sum of its proper divisors (455496012).

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

252566928 is a wasteful number, since it uses less digits than its factorization.

252566928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3047 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 252566928 is about 15892.3543881956. The cubic root of 252566928 is about 632.1092718179.

The spelling of 252566928 in words is "two hundred fifty-two million, five hundred sixty-six thousand, nine hundred twenty-eight".