258984 has 64 divisors (see below), whose sum is σ = 792000. Its totient is φ = 77760.

The previous prime is 258983. The next prime is 258991. The reversal of 258984 is 489852.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258984.

It is not an unprimeable number, because it can be changed into a prime (258983) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2322 + ... + 2430.

It is an arithmetic number, because the mean of its divisors is an integer number (12375).

2²⁵⁸⁹⁸⁴ is an apocalyptic number.

258984 is a gapful number since it is divisible by the number (24) 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 258984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396000).

258984 is an abundant number, since it is smaller than the sum of its proper divisors (533016).

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

258984 is a wasteful number, since it uses less digits than its factorization.

258984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 258984 is about 508.9047062074. The cubic root of 258984 is about 63.7417982528.

It can be divided in two parts, 25 and 8984, that added together give a palindrome (9009).

The spelling of 258984 in words is "two hundred fifty-eight thousand, nine hundred eighty-four".