264560256 has 320 divisors, whose sum is σ = 888624000. Its totient is φ = 77635584.

The previous prime is 264560251. The next prime is 264560267. The reversal of 264560256 is 652065462.

264560256 is a `hidden beast` number, since 2 + 6 + 45 + 602 + 5 + 6 = 666.

264560256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 264560256.

It is not an unprimeable number, because it can be changed into a prime (264560251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3348825 + ... + 3348903.

It is an arithmetic number, because the mean of its divisors is an integer number (2776950).

Almost surely, 2^264560256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264560256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444312000).

264560256 is an abundant number, since it is smaller than the sum of its proper divisors (624063744).

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

264560256 is a wasteful number, since it uses less digits than its factorization.

264560256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 264560256 is about 16265.3083585895. The cubic root of 264560256 is about 641.9603434322.

The spelling of 264560256 in words is "two hundred sixty-four million, five hundred sixty thousand, two hundred fifty-six".