253955520 has 896 divisors, whose sum is σ = 1228953600. Its totient is φ = 47775744.

The previous prime is 253955519. The next prime is 253955551. The reversal of 253955520 is 25559352.

253955520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253955520² = 128986812276940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13366071 + ... + 13366089.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 2^253955520 is an apocalyptic number.

253955520 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 253955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614476800).

253955520 is an abundant number, since it is smaller than the sum of its proper divisors (974998080).

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

253955520 is a wasteful number, since it uses less digits than its factorization.

253955520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The square root of 253955520 is about 15935.9819277006. The cubic root of 253955520 is about 633.2655833961.

The spelling of 253955520 in words is "two hundred fifty-three million, nine hundred fifty-five thousand, five hundred twenty".