253982504 has 64 divisors (see below), whose sum is σ = 512179200. Its totient is φ = 117849600.

The previous prime is 253982503. The next prime is 253982527. The reversal of 253982504 is 405289352.

It is a super-2 number, since 2×253982504² = 129014224676220032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (253982503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816509 + ... + 816819.

It is an arithmetic number, because the mean of its divisors is an integer number (8002800).

Almost surely, 2^253982504 is an apocalyptic number.

It is an amenable number.

253982504 is an abundant number, since it is smaller than the sum of its proper divisors (258196696).

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

253982504 is a wasteful number, since it uses less digits than its factorization.

253982504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 253982504 is about 15936.8285427183. The cubic root of 253982504 is about 633.2880117769.

The spelling of 253982504 in words is "two hundred fifty-three million, nine hundred eighty-two thousand, five hundred four".