253412352 has 132 divisors (see below), whose sum is σ = 756178176. Its totient is φ = 81653760.

The previous prime is 253412347. The next prime is 253412377. The reversal of 253412352 is 253214352.

It is a happy number.

253412352 is a `hidden beast` number, since 2 + 534 + 123 + 5 + 2 = 666.

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, 285253 + ... + 286139.

Almost surely, 2^253412352 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 253412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378089088).

253412352 is an abundant number, since it is smaller than the sum of its proper divisors (502765824).

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

253412352 is a wasteful number, since it uses less digits than its factorization.

253412352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 923 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 253412352 is about 15918.9306173499. The cubic root of 253412352 is about 632.8137783934.

The spelling of 253412352 in words is "two hundred fifty-three million, four hundred twelve thousand, three hundred fifty-two".