253605320 has 64 divisors (see below), whose sum is σ = 606236400. Its totient is φ = 95150080.

The previous prime is 253605307. The next prime is 253605347. The reversal of 253605320 is 23506352.

It can be written as a sum of positive squares in 8 ways, for example, as 176411524 + 77193796 = 13282^2 + 8786^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 253605320.

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, 313076 + ... + 313884.

Almost surely, 2^253605320 is an apocalyptic number.

253605320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253605320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303118200).

253605320 is an abundant number, since it is smaller than the sum of its proper divisors (352631080).

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

253605320 is a wasteful number, since it uses less digits than its factorization.

253605320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 253605320 is about 15924.9904238590. The cubic root of 253605320 is about 632.9743622875.

The spelling of 253605320 in words is "two hundred fifty-three million, six hundred five thousand, three hundred twenty".