253838832 has 80 divisors (see below), whose sum is σ = 747764640. Its totient is φ = 73506816.

The previous prime is 253838807. The next prime is 253838839. The reversal of 253838832 is 238838352.

It is a super-2 number, since 2×253838832² = 128868305262248448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253838839) 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 15 ways as a sum of consecutive naturals, for example, 1357 + ... + 22572.

It is an arithmetic number, because the mean of its divisors is an integer number (9347058).

Almost surely, 2^253838832 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 253838832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373882320).

253838832 is an abundant number, since it is smaller than the sum of its proper divisors (493925808).

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

253838832 is a wasteful number, since it uses less digits than its factorization.

253838832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23970 (or 23964 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 253838832 is about 15932.3203583157. The cubic root of 253838832 is about 633.1685771500.

The spelling of 253838832 in words is "two hundred fifty-three million, eight hundred thirty-eight thousand, eight hundred thirty-two".