558400 has 42 divisors (see below), whose sum is σ = 1377950. Its totient is φ = 222720.

The previous prime is 558343. The next prime is 558401. The reversal of 558400 is 4855.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 73984 + 484416 = 272^2 + 696^2 .

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.

558400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 1426 + ... + 1774.

2⁵⁵⁸⁴⁰⁰ is an apocalyptic number.

558400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688975).

558400 is an abundant number, since it is smaller than the sum of its proper divisors (819550).

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

558400 is a wasteful number, since it uses less digits than its factorization.

558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 356 counting only the distinct ones).

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

The square root of 558400 is about 747.2616676908. The cubic root of 558400 is about 82.3471304424.

The spelling of 558400 in words is "five hundred fifty-eight thousand, four hundred".