259350 has 96 divisors (see below), whose sum is σ = 833280. Its totient is φ = 51840.

The previous prime is 259339. The next prime is 259379. The reversal of 259350 is 53952.

It is a super-3 number, since 3×259350³ = 52333527826125000, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 259350.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 259350.

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 47 ways as a sum of consecutive naturals, for example, 13641 + ... + 13659.

It is an arithmetic number, because the mean of its divisors is an integer number (8680).

2²⁵⁹³⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640).

259350 is an abundant number, since it is smaller than the sum of its proper divisors (573930).

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

259350 is a wasteful number, since it uses less digits than its factorization.

259350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 259350 is about 509.2641750604. The cubic root of 259350 is about 63.7718110682.

The spelling of 259350 in words is "two hundred fifty-nine thousand, three hundred fifty".