253952496 has 360 divisors, whose sum is σ = 905608704. Its totient is φ = 68584320.

The previous prime is 253952437. The next prime is 253952519. The reversal of 253952496 is 694259352.

253952496 is a `hidden beast` number, since 2 + 5 + 39 + 524 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5905851 + ... + 5905893.

Almost surely, 2^253952496 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 253952496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452804352).

253952496 is an abundant number, since it is smaller than the sum of its proper divisors (651656208).

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

253952496 is a wasteful number, since it uses less digits than its factorization.

253952496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 253952496 is about 15935.8870477925. The cubic root of 253952496 is about 633.2630698290.

The spelling of 253952496 in words is "two hundred fifty-three million, nine hundred fifty-two thousand, four hundred ninety-six".