258820 has 12 divisors (see below), whose sum is σ = 543564. Its totient is φ = 103520.

The previous prime is 258809. The next prime is 258827. The reversal of 258820 is 28852.

258820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 145924 + 112896 = 382^2 + 336^2 .

It is not an unprimeable number, because it can be changed into a prime (258827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6451 + ... + 6490.

It is an arithmetic number, because the mean of its divisors is an integer number (45297).

2²⁵⁸⁸²⁰ is an apocalyptic number.

258820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258820 is an abundant number, since it is smaller than the sum of its proper divisors (284744).

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

258820 is a wasteful number, since it uses less digits than its factorization.

258820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12950 (or 12948 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 258820 is about 508.7435503277. The cubic root of 258820 is about 63.7283407133.

Adding to 258820 its product of nonzero digits (1280), we get a square (260100 = 510²).

The spelling of 258820 in words is "two hundred fifty-eight thousand, eight hundred twenty".