559800 has 72 divisors (see below), whose sum is σ = 1886040. Its totient is φ = 148800.

The previous prime is 559799. The next prime is 559807. The reversal of 559800 is 8955.

559800 = T₁₉₉ + T₂₀₀ + ... + T₂₂₃.

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

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (559807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1645 + ... + 1955.

It is an arithmetic number, because the mean of its divisors is an integer number (26195).

2⁵⁵⁹⁸⁰⁰ is an apocalyptic number.

559800 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 559800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943020).

559800 is an abundant number, since it is smaller than the sum of its proper divisors (1326240).

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

559800 is a wasteful number, since it uses less digits than its factorization.

559800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 559800 is about 748.1978348004. The cubic root of 559800 is about 82.4158922437.

The spelling of 559800 in words is "five hundred fifty-nine thousand, eight hundred".