265664256 has 288 divisors, whose sum is σ = 865347840. Its totient is φ = 71270400.

The previous prime is 265664227. The next prime is 265664261. The reversal of 265664256 is 652466562.

265664256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4502755 + ... + 4502813.

It is an arithmetic number, because the mean of its divisors is an integer number (3004680).

Almost surely, 2^265664256 is an apocalyptic number.

265664256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 265664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432673920).

265664256 is an abundant number, since it is smaller than the sum of its proper divisors (599683584).

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

265664256 is a wasteful number, since it uses less digits than its factorization.

265664256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 265664256 is about 16299.2102876182. The cubic root of 265664256 is about 642.8520630004.

The spelling of 265664256 in words is "two hundred sixty-five million, six hundred sixty-four thousand, two hundred fifty-six".