253508256 has 144 divisors (see below), whose sum is σ = 754790400. Its totient is φ = 80607744.

The previous prime is 253508249. The next prime is 253508257. The reversal of 253508256 is 652805352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 253508256.

It is not an unprimeable number, because it can be changed into a prime (253508257) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1060585 + ... + 1060823.

It is an arithmetic number, because the mean of its divisors is an integer number (5241600).

Almost surely, 2^253508256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253508256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

253508256 is an abundant number, since it is smaller than the sum of its proper divisors (501282144).

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

253508256 is a wasteful number, since it uses less digits than its factorization.

253508256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 253508256 is about 15921.9425950479. The cubic root of 253508256 is about 632.8935978625.

The spelling of 253508256 in words is "two hundred fifty-three million, five hundred eight thousand, two hundred fifty-six".