259440640 has 60 divisors (see below), whose sum is σ = 622835136. Its totient is φ = 103743488.

The previous prime is 259440589. The next prime is 259440673. The reversal of 259440640 is 46044952.

It is a junction number, because it is equal to n+sod(n) for n = 259440596 and 259440605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80337 + ... + 83503.

Almost surely, 2^259440640 is an apocalyptic number.

259440640 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 259440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311417568).

259440640 is an abundant number, since it is smaller than the sum of its proper divisors (363394496).

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

259440640 is an frugal number, since it uses more digits than its factorization.

259440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 259440640 is about 16107.1611403127. The cubic root of 259440640 is about 637.7923938730.

It can be divided in two parts, 2594 and 40640, that added together give a palindrome (43234).

The spelling of 259440640 in words is "two hundred fifty-nine million, four hundred forty thousand, six hundred forty".