559930140 has 288 divisors, whose sum is σ = 2151152640. Its totient is φ = 114508800.

The previous prime is 559930123. The next prime is 559930181. The reversal of 559930140 is 41039955.

559930140 is a `hidden beast` number, since 559 + 93 + 0 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 559930095 and 559930104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 983776 + ... + 984344.

It is an arithmetic number, because the mean of its divisors is an integer number (7469280).

Almost surely, 2^559930140 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 559930140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

559930140 is an abundant number, since it is smaller than the sum of its proper divisors (1591222500).

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

559930140 is a wasteful number, since it uses less digits than its factorization.

559930140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 559930140 is about 23662.8430244550. The cubic root of 559930140 is about 824.2227831803. Note that the first 3 decimals are identical.

The spelling of 559930140 in words is "five hundred fifty-nine million, nine hundred thirty thousand, one hundred forty".