253862496 has 144 divisors (see below), whose sum is σ = 804913200. Its totient is φ = 75423744.

The previous prime is 253862489. The next prime is 253862501. The reversal of 253862496 is 694268352.

253862496 is a `hidden beast` number, since 2 + 538 + 6 + 24 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91660 + ... + 94388.

It is an arithmetic number, because the mean of its divisors is an integer number (5589675).

Almost surely, 2^253862496 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 253862496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402456600).

253862496 is an abundant number, since it is smaller than the sum of its proper divisors (551050704).

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

253862496 is a wasteful number, since it uses less digits than its factorization.

253862496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2770 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 253862496 is about 15933.0629823647. The cubic root of 253862496 is about 633.1882521481.

The spelling of 253862496 in words is "two hundred fifty-three million, eight hundred sixty-two thousand, four hundred ninety-six".