253885968 has 160 divisors (see below), whose sum is σ = 847564800. Its totient is φ = 71259264.

The previous prime is 253885943. The next prime is 253885979. The reversal of 253885968 is 869588352.

253885968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177705 + ... + 179127.

It is an arithmetic number, because the mean of its divisors is an integer number (5297280).

Almost surely, 2^253885968 is an apocalyptic number.

253885968 is a gapful number since it is divisible by the number (28) 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 253885968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423782400).

253885968 is an abundant number, since it is smaller than the sum of its proper divisors (593678832).

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

253885968 is a wasteful number, since it uses less digits than its factorization.

253885968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1494 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 253885968 is about 15933.7995468752. The cubic root of 253885968 is about 633.2077663035.

The spelling of 253885968 in words is "two hundred fifty-three million, eight hundred eighty-five thousand, nine hundred sixty-eight".