259830 has 24 divisors (see below), whose sum is σ = 675792. Its totient is φ = 69264.

The previous prime is 259829. The next prime is 259837. The reversal of 259830 is 38952.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 259794 and 259803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1354 + ... + 1533.

It is an arithmetic number, because the mean of its divisors is an integer number (28158).

2²⁵⁹⁸³⁰ is an apocalyptic number.

259830 is an abundant number, since it is smaller than the sum of its proper divisors (415962).

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

259830 is a wasteful number, since it uses less digits than its factorization.

259830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2900 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 259830 is about 509.7352253867. The cubic root of 259830 is about 63.8111293694.

It can be divided in two parts, 2598 and 30, that added together give a triangular number (2628 = T₇₂).

The spelling of 259830 in words is "two hundred fifty-nine thousand, eight hundred thirty".