253023984 has 60 divisors (see below), whose sum is σ = 730971072. Its totient is φ = 81619200.

The previous prime is 253023977. The next prime is 253024021. The reversal of 253023984 is 489320352.

It is a super-2 number, since 2×253023984² = 128042272958464512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23877 + ... + 32804.

Almost surely, 2^253023984 is an apocalyptic number.

253023984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253023984 is an abundant number, since it is smaller than the sum of its proper divisors (477947088).

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

253023984 is a wasteful number, since it uses less digits than its factorization.

253023984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56726 (or 56717 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 253023984 is about 15906.7276333003. The cubic root of 253023984 is about 632.4903394401.

The spelling of 253023984 in words is "two hundred fifty-three million, twenty-three thousand, nine hundred eighty-four".