558220 has 48 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 193536.

The previous prime is 558209. The next prime is 558223. The reversal of 558220 is 22855.

558220 = T₂₉₉ + T₃₀₀ + ... + T₃₁₀.

It is a junction number, because it is equal to n+sod(n) for n = 558191 and 558200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (558223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4884 + ... + 4996.

It is an arithmetic number, because the mean of its divisors is an integer number (27930).

2⁵⁵⁸²²⁰ 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 558220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670320).

558220 is an abundant number, since it is smaller than the sum of its proper divisors (782420).

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

558220 is a wasteful number, since it uses less digits than its factorization.

558220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

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

The square root of 558220 is about 747.1412182446. The cubic root of 558220 is about 82.3382813041.

It can be divided in two parts, 558 and 220, that multiplied together give a triangular number (122760 = T₄₉₅).

The spelling of 558220 in words is "five hundred fifty-eight thousand, two hundred twenty".