259989312 has 252 divisors, whose sum is σ = 823740288. Its totient is φ = 72230400.

The previous prime is 259989311. The next prime is 259989319. The reversal of 259989312 is 213989952.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259989311) 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 35 ways as a sum of consecutive naturals, for example, 8386737 + ... + 8386767.

Almost surely, 2^259989312 is an apocalyptic number.

259989312 is a gapful number since it is divisible by the number (22) 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 259989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411870144).

259989312 is an abundant number, since it is smaller than the sum of its proper divisors (563750976).

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

259989312 is a wasteful number, since it uses less digits than its factorization.

259989312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its digits is 349920, while the sum is 48.

The square root of 259989312 is about 16124.1840723802. The cubic root of 259989312 is about 638.2416840987.

The spelling of 259989312 in words is "two hundred fifty-nine million, nine hundred eighty-nine thousand, three hundred twelve".