259981440 has 256 divisors, whose sum is σ = 878929920. Its totient is φ = 65286144.

The previous prime is 259981417. The next prime is 259981441. The reversal of 259981440 is 44189952.

It is a junction number, because it is equal to n+sod(n) for n = 259981392 and 259981401.

It is not an unprimeable number, because it can be changed into a prime (259981441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3880287 + ... + 3880353.

It is an arithmetic number, because the mean of its divisors is an integer number (3433320).

Almost surely, 2^259981440 is an apocalyptic number.

259981440 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 259981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439464960).

259981440 is an abundant number, since it is smaller than the sum of its proper divisors (618948480).

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

259981440 is a wasteful number, since it uses less digits than its factorization.

259981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 259981440 is about 16123.9399651574. The cubic root of 259981440 is about 638.2352424374.

The spelling of 259981440 in words is "two hundred fifty-nine million, nine hundred eighty-one thousand, four hundred forty".