259788288 has 80 divisors (see below), whose sum is σ = 732877200. Its totient is φ = 81494016.

The previous prime is 259788283. The next prime is 259788301. The reversal of 259788288 is 882887952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259788283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21138 + ... + 31086.

It is an arithmetic number, because the mean of its divisors is an integer number (9160965).

Almost surely, 2^259788288 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 259788288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366438600).

259788288 is an abundant number, since it is smaller than the sum of its proper divisors (473088912).

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

259788288 is an equidigital number, since it uses as much as digits as its factorization.

259788288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9987 (or 9971 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 57.

The square root of 259788288 is about 16117.9492492066. The cubic root of 259788288 is about 638.0771453115.

The spelling of 259788288 in words is "two hundred fifty-nine million, seven hundred eighty-eight thousand, two hundred eighty-eight".