253933568 has 48 divisors (see below), whose sum is σ = 580310640. Its totient is φ = 108822528.

The previous prime is 253933567. The next prime is 253933583. The reversal of 253933568 is 865339352.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253933567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5480 + ... + 23192.

It is an arithmetic number, because the mean of its divisors is an integer number (12089805).

Almost surely, 2^253933568 is an apocalyptic number.

253933568 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 253933568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290155320).

253933568 is an abundant number, since it is smaller than the sum of its proper divisors (326377072).

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

253933568 is an equidigital number, since it uses as much as digits as its factorization.

253933568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17742 (or 17722 counting only the distinct ones).

The product of its digits is 583200, while the sum is 44.

The square root of 253933568 is about 15935.2931570147. The cubic root of 253933568 is about 633.2473363074.

The spelling of 253933568 in words is "two hundred fifty-three million, nine hundred thirty-three thousand, five hundred sixty-eight".