259082440 has 32 divisors (see below), whose sum is σ = 584252280. Its totient is φ = 103398912.

The previous prime is 259082387. The next prime is 259082449. The reversal of 259082440 is 44280952.

259082440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 258373476 + 708964 = 16074^2 + 842^2 .

It is a junction number, because it is equal to n+sod(n) for n = 259082396 and 259082405.

It is not an unprimeable number, because it can be changed into a prime (259082449) 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 7 ways as a sum of consecutive naturals, for example, 11194 + ... + 25366.

Almost surely, 2^259082440 is an apocalyptic number.

259082440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259082440 is an abundant number, since it is smaller than the sum of its proper divisors (325169840).

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

259082440 is a wasteful number, since it uses less digits than its factorization.

259082440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14641 (or 14637 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 259082440 is about 16096.0380218239. The cubic root of 259082440 is about 637.4987333052.

The spelling of 259082440 in words is "two hundred fifty-nine million, eighty-two thousand, four hundred forty".