259020944 has 80 divisors (see below), whose sum is σ = 632876160. Its totient is φ = 99947520.

The previous prime is 259020941. The next prime is 259020947. The reversal of 259020944 is 449020952.

259020944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (259020941) and next prime (259020947).

It is a super-2 number, since 2×259020944² = 134183698861302272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (259020941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57527 + ... + 61865.

It is an arithmetic number, because the mean of its divisors is an integer number (7910952).

Almost surely, 2^259020944 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 259020944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316438080).

259020944 is an abundant number, since it is smaller than the sum of its proper divisors (373855216).

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

259020944 is a wasteful number, since it uses less digits than its factorization.

259020944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 259020944 is about 16094.1276246959. The cubic root of 259020944 is about 637.4482902566.

The spelling of 259020944 in words is "two hundred fifty-nine million, twenty thousand, nine hundred forty-four".