259928256 has 112 divisors (see below), whose sum is σ = 807370496. Its totient is φ = 72244224.

The previous prime is 259928191. The next prime is 259928257. The reversal of 259928256 is 652829952.

259928256 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 (112).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (259928257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47115 + ... + 52341.

Almost surely, 2^259928256 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 259928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403685248).

259928256 is an abundant number, since it is smaller than the sum of its proper divisors (547442240).

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

259928256 is a wasteful number, since it uses less digits than its factorization.

259928256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5276 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 259928256 is about 16122.2906561072. The cubic root of 259928256 is about 638.1917185382.

The spelling of 259928256 in words is "two hundred fifty-nine million, nine hundred twenty-eight thousand, two hundred fifty-six".