258228 has 30 divisors (see below), whose sum is σ = 675906. Its totient is φ = 85968.

The previous prime is 258211. The next prime is 258233. The reversal of 258228 is 822852.

It can be written as a sum of positive squares in only one way, i.e., 219024 + 39204 = 468^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

258228 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 9 ways as a sum of consecutive naturals, for example, 75 + ... + 722.

2²⁵⁸²²⁸ 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 258228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337953).

258228 is an abundant number, since it is smaller than the sum of its proper divisors (417678).

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

258228 is a wasteful number, since it uses less digits than its factorization.

258228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 802 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 258228 is about 508.1613916858. The cubic root of 258228 is about 63.6797149260.

The spelling of 258228 in words is "two hundred fifty-eight thousand, two hundred twenty-eight".