259009440 has 192 divisors, whose sum is σ = 881798400. Its totient is φ = 63709184.

The previous prime is 259009393. The next prime is 259009441. The reversal of 259009440 is 44900952.

It is a super-2 number, since 2×259009440² = 134171780018227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (259009441) 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 31 ways as a sum of consecutive naturals, for example, 319756 + ... + 320564.

It is an arithmetic number, because the mean of its divisors is an integer number (4592700).

Almost surely, 2^259009440 is an apocalyptic number.

259009440 is a gapful number since it is divisible by the number (20) 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 259009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440899200).

259009440 is an abundant number, since it is smaller than the sum of its proper divisors (622788960).

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

259009440 is a wasteful number, since it uses less digits than its factorization.

259009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 259009440 is about 16093.7702232883. The cubic root of 259009440 is about 637.4388530356.

The spelling of 259009440 in words is "two hundred fifty-nine million, nine thousand, four hundred forty".