253718496 has 72 divisors (see below), whose sum is σ = 739144224. Its totient is φ = 82506240.

The previous prime is 253718471. The next prime is 253718519. The reversal of 253718496 is 694817352.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1065 + ... + 22551.

It is an arithmetic number, because the mean of its divisors is an integer number (10265892).

Almost surely, 2^253718496 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 253718496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369572112).

253718496 is an abundant number, since it is smaller than the sum of its proper divisors (485425728).

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

253718496 is a wasteful number, since it uses less digits than its factorization.

253718496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21544 (or 21533 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 253718496 is about 15928.5434362342. The cubic root of 253718496 is about 633.0685070693.

The spelling of 253718496 in words is "two hundred fifty-three million, seven hundred eighteen thousand, four hundred ninety-six".