259824220 has 24 divisors (see below), whose sum is σ = 549932544. Its totient is φ = 103110336.

The previous prime is 259824211. The next prime is 259824223. The reversal of 259824220 is 22428952.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (259824223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48607 + ... + 53686.

It is an arithmetic number, because the mean of its divisors is an integer number (22913856).

Almost surely, 2^259824220 is an apocalyptic number.

259824220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259824220 is an abundant number, since it is smaller than the sum of its proper divisors (290108324).

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

259824220 is a wasteful number, since it uses less digits than its factorization.

259824220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102429 (or 102427 counting only the distinct ones).

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

The square root of 259824220 is about 16119.0638685998. The cubic root of 259824220 is about 638.1065619969.

The spelling of 259824220 in words is "two hundred fifty-nine million, eight hundred twenty-four thousand, two hundred twenty".