253920 has 72 divisors (see below), whose sum is σ = 836136. Its totient is φ = 64768.

The previous prime is 253919. The next prime is 253937. The reversal of 253920 is 29352.

253920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253920.

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, 11029 + ... + 11051.

It is an arithmetic number, because the mean of its divisors is an integer number (11613).

2²⁵³⁹²⁰ is an apocalyptic number.

253920 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 253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418068).

253920 is an abundant number, since it is smaller than the sum of its proper divisors (582216).

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

253920 is a wasteful number, since it uses less digits than its factorization.

253920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 253920 is about 503.9047529048. The cubic root of 253920 is about 63.3236057698.

The spelling of 253920 in words is "two hundred fifty-three thousand, nine hundred twenty".