253456768 has 32 divisors (see below), whose sum is σ = 511038360. Its totient is φ = 125196288.

The previous prime is 253456747. The next prime is 253456811. The reversal of 253456768 is 867654352.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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, 1305 + ... + 22552.

Almost surely, 2^253456768 is an apocalyptic number.

It is an amenable number.

253456768 is an abundant number, since it is smaller than the sum of its proper divisors (257581592).

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

253456768 is an equidigital number, since it uses as much as digits as its factorization.

253456768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23954 (or 23942 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 46.

The square root of 253456768 is about 15920.3256248106. The cubic root of 253456768 is about 632.8507476711.

The spelling of 253456768 in words is "two hundred fifty-three million, four hundred fifty-six thousand, seven hundred sixty-eight".