253921920 has 192 divisors, whose sum is σ = 941868000. Its totient is φ = 58017792.

The previous prime is 253921919. The next prime is 253921949. The reversal of 253921920 is 29129352.

253921920 is digitally balanced in base 3, 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 (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92731 + ... + 95429.

Almost surely, 2^253921920 is an apocalyptic number.

253921920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470934000).

253921920 is an abundant number, since it is smaller than the sum of its proper divisors (687946080).

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

253921920 is a wasteful number, since it uses less digits than its factorization.

253921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 253921920 is about 15934.9276747653. The cubic root of 253921920 is about 633.2376537517.

The spelling of 253921920 in words is "two hundred fifty-three million, nine hundred twenty-one thousand, nine hundred twenty".