253914528 has 96 divisors (see below), whose sum is σ = 764539776. Its totient is φ = 72281088.

The previous prime is 253914511. The next prime is 253914553. The reversal of 253914528 is 825419352.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250150 + ... + 251162.

It is an arithmetic number, because the mean of its divisors is an integer number (7963956).

Almost surely, 2^253914528 is an apocalyptic number.

253914528 is a gapful number since it is divisible by the number (28) 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 253914528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382269888).

253914528 is an abundant number, since it is smaller than the sum of its proper divisors (510625248).

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

253914528 is a wasteful number, since it uses less digits than its factorization.

253914528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1398 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 253914528 is about 15934.6957297590. The cubic root of 253914528 is about 633.2315088993.

The spelling of 253914528 in words is "two hundred fifty-three million, nine hundred fourteen thousand, five hundred twenty-eight".