259291872 has 144 divisors (see below), whose sum is σ = 863527392. Its totient is φ = 72253440.

The previous prime is 259291867. The next prime is 259291883. The reversal of 259291872 is 278192952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81088 + ... + 84224.

It is an arithmetic number, because the mean of its divisors is an integer number (5996718).

Almost surely, 2^259291872 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 259291872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431763696).

259291872 is an abundant number, since it is smaller than the sum of its proper divisors (604235520).

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

259291872 is a wasteful number, since it uses less digits than its factorization.

259291872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201 (or 3190 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 259291872 is about 16102.5424079553. The cubic root of 259291872 is about 637.6704632964.

The spelling of 259291872 in words is "two hundred fifty-nine million, two hundred ninety-one thousand, eight hundred seventy-two".