259956864 has 80 divisors (see below), whose sum is σ = 773658270. Its totient is φ = 86648832.

The previous prime is 259956863. The next prime is 259956881. The reversal of 259956864 is 468659952.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 230796864 + 29160000 = 15192^2 + 5400^2 .

It is a super-2 number, since 2×259956864² = 135155142281428992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 259956864.

It is not an unprimeable number, because it can be changed into a prime (259956863) 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 9 ways as a sum of consecutive naturals, for example, 2169 + ... + 22904.

Almost surely, 2^259956864 is an apocalyptic number.

259956864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386829135).

259956864 is an abundant number, since it is smaller than the sum of its proper divisors (513701406).

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

259956864 is an equidigital number, since it uses as much as digits as its factorization.

259956864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25099 (or 25078 counting only the distinct ones).

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

The square root of 259956864 is about 16123.1778505355. The cubic root of 259956864 is about 638.2151310485.

The spelling of 259956864 in words is "two hundred fifty-nine million, nine hundred fifty-six thousand, eight hundred sixty-four".