259655328 has 192 divisors, whose sum is σ = 804988800. Its totient is φ = 81285120.

The previous prime is 259655309. The next prime is 259655329. The reversal of 259655328 is 823556952.

259655328 is a `hidden beast` number, since 2 + 5 + 96 + 553 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (259655329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077288 + ... + 1077528.

It is an arithmetic number, because the mean of its divisors is an integer number (4192650).

Almost surely, 2^259655328 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 259655328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402494400).

259655328 is an abundant number, since it is smaller than the sum of its proper divisors (545333472).

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

259655328 is a wasteful number, since it uses less digits than its factorization.

259655328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 259655328 is about 16113.8241271276. The cubic root of 259655328 is about 637.9682704843.

The spelling of 259655328 in words is "two hundred fifty-nine million, six hundred fifty-five thousand, three hundred twenty-eight".