254765664 has 72 divisors (see below), whose sum is σ = 756009072. Its totient is φ = 81227520.

The previous prime is 254765663. The next prime is 254765671. The reversal of 254765664 is 466567452.

254765664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (254765663) 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, 12607 + ... + 25854.

It is an arithmetic number, because the mean of its divisors is an integer number (10500126).

Almost surely, 2^254765664 is an apocalyptic number.

254765664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

254765664 is an abundant number, since it is smaller than the sum of its proper divisors (501243408).

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

254765664 is a wasteful number, since it uses less digits than its factorization.

254765664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38500 (or 38489 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 254765664 is about 15961.3803914323. The cubic root of 254765664 is about 633.9382625219.

The spelling of 254765664 in words is "two hundred fifty-four million, seven hundred sixty-five thousand, six hundred sixty-four".