259338240 has 416 divisors, whose sum is σ = 1069416960. Its totient is φ = 58392576.

The previous prime is 259338223. The next prime is 259338263. The reversal of 259338240 is 42833952.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 259338195 and 259338204.

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 31 ways as a sum of consecutive naturals, for example, 3870687 + ... + 3870753.

Almost surely, 2^259338240 is an apocalyptic number.

259338240 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 259338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534708480).

259338240 is an abundant number, since it is smaller than the sum of its proper divisors (810078720).

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

259338240 is an equidigital number, since it uses as much as digits as its factorization.

259338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 259338240 is about 16103.9821162345. The cubic root of 259338240 is about 637.7084716118.

The spelling of 259338240 in words is "two hundred fifty-nine million, three hundred thirty-eight thousand, two hundred forty".