253358496 has 96 divisors (see below), whose sum is σ = 748077120. Its totient is φ = 83411712.

The previous prime is 253358467. The next prime is 253358509. The reversal of 253358496 is 694853352.

253358496 is a `hidden beast` number, since 253 + 358 + 49 + 6 = 666.

253358496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69946 + ... + 73478.

It is an arithmetic number, because the mean of its divisors is an integer number (7792470).

Almost surely, 2^253358496 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 253358496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374038560).

253358496 is an abundant number, since it is smaller than the sum of its proper divisors (494718624).

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

253358496 is a wasteful number, since it uses less digits than its factorization.

253358496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635 (or 3621 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 253358496 is about 15917.2389565527. The cubic root of 253358496 is about 632.7689460175.

The spelling of 253358496 in words is "two hundred fifty-three million, three hundred fifty-eight thousand, four hundred ninety-six".