253009296 has 60 divisors (see below), whose sum is σ = 711859200. Its totient is φ = 83885760.

The previous prime is 253009277. The next prime is 253009331. The reversal of 253009296 is 692900352.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 253009296.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22905 + ... + 32103.

It is an arithmetic number, because the mean of its divisors is an integer number (11864320).

Almost surely, 2^253009296 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 253009296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355929600).

253009296 is an abundant number, since it is smaller than the sum of its proper divisors (458849904).

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

253009296 is a wasteful number, since it uses less digits than its factorization.

253009296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9404 (or 9395 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 253009296 is about 15906.2659351590. The cubic root of 253009296 is about 632.4781005504.

It can be divided in two parts, 25300 and 9296, that added together give a square (34596 = 186²).

The spelling of 253009296 in words is "two hundred fifty-three million, nine thousand, two hundred ninety-six".