253993872 has 80 divisors (see below), whose sum is σ = 757933632. Its totient is φ = 72437760.

The previous prime is 253993841. The next prime is 253993897. The reversal of 253993872 is 278399352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 5173 + ... + 23124.

Almost surely, 2^253993872 is an apocalyptic number.

253993872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253993872 is an abundant number, since it is smaller than the sum of its proper divisors (503939760).

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

253993872 is a wasteful number, since it uses less digits than its factorization.

253993872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28336 (or 28330 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 253993872 is about 15937.1851968909. The cubic root of 253993872 is about 633.2974600795.

The spelling of 253993872 in words is "two hundred fifty-three million, nine hundred ninety-three thousand, eight hundred seventy-two".