253965760 has 56 divisors (see below), whose sum is σ = 625632480. Its totient is φ = 98079744.

The previous prime is 253965757. The next prime is 253965763. The reversal of 253965760 is 67569352.

It is an interprime number because it is at equal distance from previous prime (253965757) and next prime (253965763).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253965763) 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 7 ways as a sum of consecutive naturals, for example, 4404 + ... + 22963.

Almost surely, 2^253965760 is an apocalyptic number.

253965760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253965760 is an abundant number, since it is smaller than the sum of its proper divisors (371666720).

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

253965760 is a wasteful number, since it uses less digits than its factorization.

253965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27413 (or 27403 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 43.

The square root of 253965760 is about 15936.3032099669. The cubic root of 253965760 is about 633.2740947979.

The spelling of 253965760 in words is "two hundred fifty-three million, nine hundred sixty-five thousand, seven hundred sixty".