253260320 has 24 divisors (see below), whose sum is σ = 598327884. Its totient is φ = 101304064.

The previous prime is 253260317. The next prime is 253260323. The reversal of 253260320 is 23062352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253260317) and next prime (253260323).

It can be written as a sum of positive squares in 2 ways, for example, as 215854864 + 37405456 = 14692^2 + 6116^2 .

It is not an unprimeable number, because it can be changed into a prime (253260323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 791279 + ... + 791598.

Almost surely, 2^253260320 is an apocalyptic number.

253260320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253260320 is an abundant number, since it is smaller than the sum of its proper divisors (345067564).

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

253260320 is a wasteful number, since it uses less digits than its factorization.

253260320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582892 (or 1582884 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 253260320 is about 15914.1547057957. The cubic root of 253260320 is about 632.6872031500.

The spelling of 253260320 in words is "two hundred fifty-three million, two hundred sixty thousand, three hundred twenty".