253295232 has 128 divisors (see below), whose sum is σ = 716040000. Its totient is φ = 79110144.

The previous prime is 253295221. The next prime is 253295233. The reversal of 253295232 is 232592352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 253295193 and 253295202.

It is not an unprimeable number, because it can be changed into a prime (253295233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086988 + ... + 1087220.

Almost surely, 2^253295232 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 253295232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358020000).

253295232 is an abundant number, since it is smaller than the sum of its proper divisors (462744768).

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

253295232 is a wasteful number, since it uses less digits than its factorization.

253295232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 253295232 is about 15915.2515531486. The cubic root of 253295232 is about 632.7162738452.

The spelling of 253295232 in words is "two hundred fifty-three million, two hundred ninety-five thousand, two hundred thirty-two".