253725760 has 28 divisors (see below), whose sum is σ = 604185228. Its totient is φ = 101490176.

The previous prime is 253725749. The next prime is 253725803. The reversal of 253725760 is 67527352.

It can be written as a sum of positive squares in 2 ways, for example, as 78004224 + 175721536 = 8832^2 + 13256^2 .

It is a super-2 number, since 2×253725760² = 128753522575155200, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 396127 + ... + 396766.

Almost surely, 2^253725760 is an apocalyptic number.

253725760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253725760 is an abundant number, since it is smaller than the sum of its proper divisors (350459468).

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

253725760 is an equidigital number, since it uses as much as digits as its factorization.

253725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792910 (or 792900 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 37.

The square root of 253725760 is about 15928.7714529401. The cubic root of 253725760 is about 633.0745486282.

The spelling of 253725760 in words is "two hundred fifty-three million, seven hundred twenty-five thousand, seven hundred sixty".