558480 has 80 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 136704.

The previous prime is 558479. The next prime is 558491. The reversal of 558480 is 84855.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3031 + ... + 3209.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2⁵⁵⁸⁴⁸⁰ 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 558480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

558480 is an abundant number, since it is smaller than the sum of its proper divisors (1316400).

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

558480 is a wasteful number, since it uses less digits than its factorization.

558480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 558480 is about 747.3151945465. The cubic root of 558480 is about 82.3510627823.

It can be divided in two parts, 5 and 58480, that added together give a palindrome (58485).

The spelling of 558480 in words is "five hundred fifty-eight thousand, four hundred eighty".