559440 has 160 divisors (see below), whose sum is σ = 2261760. Its totient is φ = 124416.

The previous prime is 559421. The next prime is 559451. The reversal of 559440 is 44955.

It is a super-2 number, since 2×559440² = 625946227200, which contains 22 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15102 + ... + 15138.

It is an arithmetic number, because the mean of its divisors is an integer number (14136).

2⁵⁵⁹⁴⁴⁰ 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 559440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130880).

559440 is an abundant number, since it is smaller than the sum of its proper divisors (1702320).

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

559440 is a wasteful number, since it uses less digits than its factorization.

559440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 559440 is about 747.9572180279. The cubic root of 559440 is about 82.3982215973.

It can be divided in two parts, 559 and 440, that added together give a palindrome (999).

The spelling of 559440 in words is "five hundred fifty-nine thousand, four hundred forty".