258324 has 48 divisors (see below), whose sum is σ = 698880. Its totient is φ = 73440.

The previous prime is 258319. The next prime is 258329. The reversal of 258324 is 423852.

258324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (258319) and next prime (258329).

It is a d-powerful number, because it can be written as 2² + 5⁶ + 3¹¹ + 8 + 2¹⁶ + 4 .

It is a junction number, because it is equal to n+sod(n) for n = 258294 and 258303.

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 258324.

It is not an unprimeable number, because it can be changed into a prime (258329) by changing a digit.

258324 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2457 + ... + 2559.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

2²⁵⁸³²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349440).

258324 is an abundant number, since it is smaller than the sum of its proper divisors (440556).

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

258324 is a wasteful number, since it uses less digits than its factorization.

258324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 258324 is about 508.2558410879. The cubic root of 258324 is about 63.6876052338.

The spelling of 258324 in words is "two hundred fifty-eight thousand, three hundred twenty-four".