259948032 has 80 divisors (see below), whose sum is σ = 701205120. Its totient is φ = 85563392.

The previous prime is 259948027. The next prime is 259948067. The reversal of 259948032 is 230849952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126469 + ... + 128507.

It is an arithmetic number, because the mean of its divisors is an integer number (8765064).

Almost surely, 2^259948032 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 259948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350602560).

259948032 is an abundant number, since it is smaller than the sum of its proper divisors (441257088).

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

259948032 is an equidigital number, since it uses as much as digits as its factorization.

259948032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 259948032 is about 16122.9039567939. The cubic root of 259948032 is about 638.2079032085.

The spelling of 259948032 in words is "two hundred fifty-nine million, nine hundred forty-eight thousand, thirty-two".