253638912 has 72 divisors (see below), whose sum is σ = 714794976. Its totient is φ = 79568896.

The previous prime is 253638911. The next prime is 253638941. The reversal of 253638912 is 219836352.

253638912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (253638911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3343 + ... + 22769.

It is an arithmetic number, because the mean of its divisors is an integer number (9927708).

Almost surely, 2^253638912 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 253638912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357397488).

253638912 is an abundant number, since it is smaller than the sum of its proper divisors (461156064).

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

253638912 is a wasteful number, since it uses less digits than its factorization.

253638912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19463 (or 19449 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 253638912 is about 15926.0450834474. The cubic root of 253638912 is about 633.0023085151.

The spelling of 253638912 in words is "two hundred fifty-three million, six hundred thirty-eight thousand, nine hundred twelve".