559820940 has 288 divisors, whose sum is σ = 1975196160. Its totient is φ = 115706880.

The previous prime is 559820903. The next prime is 559820941. The reversal of 559820940 is 49028955.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 559820892 and 559820901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (559820941) 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, 7668744 + ... + 7668816.

It is an arithmetic number, because the mean of its divisors is an integer number (6858320).

Almost surely, 2^559820940 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 559820940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987598080).

559820940 is an abundant number, since it is smaller than the sum of its proper divisors (1415375220).

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

559820940 is a wasteful number, since it uses less digits than its factorization.

559820940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 559820940 is about 23660.5354968986. The cubic root of 559820940 is about 824.1691985315.

The spelling of 559820940 in words is "five hundred fifty-nine million, eight hundred twenty thousand, nine hundred forty".