558404 has 48 divisors (see below), whose sum is σ = 1276800. Its totient is φ = 211680.

The previous prime is 558401. The next prime is 558413. The reversal of 558404 is 404855.

558404 = 32² + 33² + ... + 119².

It is a super-4 number, since 4×558404⁴ (a number of 24 digits) contains 4444 as substring.

It is an Ulam number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (558401) 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, 15074 + ... + 15110.

It is an arithmetic number, because the mean of its divisors is an integer number (26600).

2⁵⁵⁸⁴⁰⁴ 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 558404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638400).

558404 is an abundant number, since it is smaller than the sum of its proper divisors (718396).

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

558404 is a wasteful number, since it uses less digits than its factorization.

558404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 558404 is about 747.2643441246. The cubic root of 558404 is about 82.3473270683.

The spelling of 558404 in words is "five hundred fifty-eight thousand, four hundred four".