559235040 has 576 divisors, whose sum is σ = 2316625920. Its totient is φ = 112250880.

The previous prime is 559235029. The next prime is 559235059. The reversal of 559235040 is 40532955.

559235040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 559234992 and 559235010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9478531 + ... + 9478589.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2^559235040 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 559235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158312960).

559235040 is an abundant number, since it is smaller than the sum of its proper divisors (1757390880).

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

559235040 is a wasteful number, since it uses less digits than its factorization.

559235040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 559235040 is about 23648.1508790857. The cubic root of 559235040 is about 823.8815772253.

Adding to 559235040 its reverse (40532955), we get a palindrome (599767995).

The spelling of 559235040 in words is "five hundred fifty-nine million, two hundred thirty-five thousand, forty".