253335920 has 40 divisors (see below), whose sum is σ = 596118096. Its totient is φ = 100110848.

The previous prime is 253335913. The next prime is 253335983. The reversal of 253335920 is 29533352.

253335920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12437 + ... + 25716.

Almost surely, 2^253335920 is an apocalyptic number.

253335920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253335920 is an abundant number, since it is smaller than the sum of its proper divisors (342782176).

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

253335920 is a wasteful number, since it uses less digits than its factorization.

253335920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38249 (or 38243 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 32.

The square root of 253335920 is about 15916.5297725352. The cubic root of 253335920 is about 632.7501507580.

The spelling of 253335920 in words is "two hundred fifty-three million, three hundred thirty-five thousand, nine hundred twenty".