559959840 has 576 divisors, whose sum is σ = 2292675840. Its totient is φ = 123002880.

The previous prime is 559959839. The next prime is 559959847. The reversal of 559959840 is 48959955.

559959840 is a `hidden beast` number, since 5 + 5 + 9 + 9 + 598 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (559959847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10565254 + ... + 10565306.

It is an arithmetic number, because the mean of its divisors is an integer number (3980340).

Almost surely, 2^559959840 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 559959840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146337920).

559959840 is an abundant number, since it is smaller than the sum of its proper divisors (1732716000).

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

559959840 is a wasteful number, since it uses less digits than its factorization.

559959840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The square root of 559959840 is about 23663.4705823132. The cubic root of 559959840 is about 824.2373558219.

The spelling of 559959840 in words is "five hundred fifty-nine million, nine hundred fifty-nine thousand, eight hundred forty".