558240 has 48 divisors (see below), whose sum is σ = 1759968. Its totient is φ = 148736.

The previous prime is 558223. The next prime is 558241. The reversal of 558240 is 42855.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 558240.

It is not an unprimeable number, because it can be changed into a prime (558241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (36666).

2⁵⁵⁸²⁴⁰ 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 558240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879984).

558240 is an abundant number, since it is smaller than the sum of its proper divisors (1201728).

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

558240 is a wasteful number, since it uses less digits than its factorization.

558240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 558240 is about 747.1546024753. The cubic root of 558240 is about 82.3392646356.

The spelling of 558240 in words is "five hundred fifty-eight thousand, two hundred forty".