258520 has 32 divisors (see below), whose sum is σ = 609120. Its totient is φ = 98560.

The previous prime is 258499. The next prime is 258521. The reversal of 258520 is 25852.

It is a junction number, because it is equal to n+sod(n) for n = 258491 and 258500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258521) 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 7 ways as a sum of consecutive naturals, for example, 780 + ... + 1060.

It is an arithmetic number, because the mean of its divisors is an integer number (19035).

2²⁵⁸⁵²⁰ is an apocalyptic number.

258520 is a gapful number since it is divisible by the number (20) 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 258520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304560).

258520 is an abundant number, since it is smaller than the sum of its proper divisors (350600).

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

258520 is a wasteful number, since it uses less digits than its factorization.

258520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 258520 is about 508.4486208065. The cubic root of 258520 is about 63.7037085445.

The spelling of 258520 in words is "two hundred fifty-eight thousand, five hundred twenty".