260405856 has 72 divisors (see below), whose sum is σ = 742092624. Its totient is φ = 86618880.

The previous prime is 260405851. The next prime is 260405857. The reversal of 260405856 is 658504062.

260405856 is digitally balanced in base 2, 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 super-2 number, since 2×260405856² = 135622419678185472, which contains 22 as substring.

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 260405856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260405851) 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, 252061 + ... + 253091.

It is an arithmetic number, because the mean of its divisors is an integer number (10306842).

Almost surely, 2^260405856 is an apocalyptic number.

It is an amenable number.

260405856 is an abundant number, since it is smaller than the sum of its proper divisors (481686768).

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

260405856 is a wasteful number, since it uses less digits than its factorization.

260405856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 260405856 is about 16137.0956494656. The cubic root of 260405856 is about 638.5823569355.

The spelling of 260405856 in words is "two hundred sixty million, four hundred five thousand, eight hundred fifty-six".