254967264 has 72 divisors (see below), whose sum is σ = 751940280. Its totient is φ = 84986496.

The previous prime is 254967247. The next prime is 254967269. The reversal of 254967264 is 462769452.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254967269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8619 + ... + 24170.

It is an arithmetic number, because the mean of its divisors is an integer number (10443615).

Almost surely, 2^254967264 is an apocalyptic number.

254967264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

254967264 is an abundant number, since it is smaller than the sum of its proper divisors (496973016).

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

254967264 is an equidigital number, since it uses as much as digits as its factorization.

254967264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32814 (or 32794 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 254967264 is about 15967.6943858530. The cubic root of 254967264 is about 634.1054334768.

The spelling of 254967264 in words is "two hundred fifty-four million, nine hundred sixty-seven thousand, two hundred sixty-four".