259086240 has 144 divisors (see below), whose sum is σ = 1010475648. Its totient is φ = 59217408.

The previous prime is 259086227. The next prime is 259086241. The reversal of 259086240 is 42680952.

It is a happy number.

259086240 is a `hidden beast` number, since 2 + 590 + 8 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 259086195 and 259086204.

It is not an unprimeable number, because it can be changed into a prime (259086241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2772 + ... + 22931.

It is an arithmetic number, because the mean of its divisors is an integer number (7017192).

Almost surely, 2^259086240 is an apocalyptic number.

259086240 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 259086240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505237824).

259086240 is an abundant number, since it is smaller than the sum of its proper divisors (751389408).

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

259086240 is a wasteful number, since it uses less digits than its factorization.

259086240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25731 (or 25720 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 259086240 is about 16096.1560628617. The cubic root of 259086240 is about 637.5018500523.

The spelling of 259086240 in words is "two hundred fifty-nine million, eighty-six thousand, two hundred forty".