253873120 has 24 divisors (see below), whose sum is σ = 599775624. Its totient is φ = 101549184.

The previous prime is 253873069. The next prime is 253873133. The reversal of 253873120 is 21378352.

253873120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253873120² = 128903122117068800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 793194 + ... + 793513.

It is an arithmetic number, because the mean of its divisors is an integer number (24990651).

Almost surely, 2^253873120 is an apocalyptic number.

253873120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253873120 is an abundant number, since it is smaller than the sum of its proper divisors (345902504).

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

253873120 is a wasteful number, since it uses less digits than its factorization.

253873120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586722 (or 1586714 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 253873120 is about 15933.3963736549. The cubic root of 253873120 is about 633.1970848801.

The spelling of 253873120 in words is "two hundred fifty-three million, eight hundred seventy-three thousand, one hundred twenty".