259894656 has 160 divisors (see below), whose sum is σ = 884180880. Its totient is φ = 74234880.

The previous prime is 259894651. The next prime is 259894721. The reversal of 259894656 is 656498952.

It is a happy number.

259894656 is a `hidden beast` number, since 2 + 598 + 9 + 46 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259894651) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70786 + ... + 74366.

Almost surely, 2^259894656 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 259894656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442090440).

259894656 is an abundant number, since it is smaller than the sum of its proper divisors (624286224).

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

259894656 is an equidigital number, since it uses as much as digits as its factorization.

259894656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3593 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 259894656 is about 16121.2485868806. The cubic root of 259894656 is about 638.1642184296.

The spelling of 259894656 in words is "two hundred fifty-nine million, eight hundred ninety-four thousand, six hundred fifty-six".