558432 has 72 divisors (see below), whose sum is σ = 1821456. Its totient is φ = 158976.

The previous prime is 558431. The next prime is 558457. The reversal of 558432 is 234855.

It is a tau number, because it is divible by the number of its divisors (72).

Its product of digits (4800) is a multiple of the sum of its prime factors (300).

It is a junction number, because it is equal to n+sod(n) for n = 558396 and 558405.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 558432.

It is not an unprimeable number, because it can be changed into a prime (558431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1878 + ... + 2154.

It is an arithmetic number, because the mean of its divisors is an integer number (25298).

2⁵⁵⁸⁴³² 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 558432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910728).

558432 is an abundant number, since it is smaller than the sum of its proper divisors (1263024).

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

558432 is a wasteful number, since it uses less digits than its factorization.

558432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 289 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 558432 is about 747.2830788931. The cubic root of 558432 is about 82.3487034234.

It can be divided in two parts, 558 and 432, that added together give a triangular number (990 = T₄₄).

The spelling of 558432 in words is "five hundred fifty-eight thousand, four hundred thirty-two".