253656864 has 144 divisors (see below), whose sum is σ = 772716672. Its totient is φ = 78649344.

The previous prime is 253656829. The next prime is 253656877. The reversal of 253656864 is 468656352.

253656864 is a `hidden beast` number, since 2 + 536 + 56 + 8 + 64 = 666.

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

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, 504037 + ... + 504539.

It is an arithmetic number, because the mean of its divisors is an integer number (5366088).

Almost surely, 2^253656864 is an apocalyptic number.

253656864 is a gapful number since it is divisible by the number (24) 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 253656864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386358336).

253656864 is an abundant number, since it is smaller than the sum of its proper divisors (519059808).

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

253656864 is a wasteful number, since it uses less digits than its factorization.

253656864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 253656864 is about 15926.6086785605. The cubic root of 253656864 is about 633.0172423296.

The spelling of 253656864 in words is "two hundred fifty-three million, six hundred fifty-six thousand, eight hundred sixty-four".