259282240 has 56 divisors (see below), whose sum is σ = 705624192. Its totient is φ = 88896000.

The previous prime is 259282211. The next prime is 259282241. The reversal of 259282240 is 42282952.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 259282196 and 259282205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259282241) 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, 55636 + ... + 60115.

It is an arithmetic number, because the mean of its divisors is an integer number (12600432).

Almost surely, 2^259282240 is an apocalyptic number.

259282240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259282240 is an abundant number, since it is smaller than the sum of its proper divisors (446341952).

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

259282240 is a wasteful number, since it uses less digits than its factorization.

259282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115775 (or 115765 counting only the distinct ones).

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

The square root of 259282240 is about 16102.2433219723. The cubic root of 259282240 is about 637.6625672808.

The spelling of 259282240 in words is "two hundred fifty-nine million, two hundred eighty-two thousand, two hundred forty".