253279968 has 48 divisors (see below), whose sum is σ = 687793680. Its totient is φ = 81514496.

The previous prime is 253279967. The next prime is 253279993. The reversal of 253279968 is 869972352.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 253279968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253279963) 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, 42705 + ... + 48272.

It is an arithmetic number, because the mean of its divisors is an integer number (14329035).

Almost surely, 2^253279968 is an apocalyptic number.

It is an amenable number.

253279968 is an abundant number, since it is smaller than the sum of its proper divisors (434513712).

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

253279968 is a wasteful number, since it uses less digits than its factorization.

253279968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91019 (or 91011 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 253279968 is about 15914.7720059070. The cubic root of 253279968 is about 632.7035640716.

The spelling of 253279968 in words is "two hundred fifty-three million, two hundred seventy-nine thousand, nine hundred sixty-eight".