559253940 has 192 divisors, whose sum is σ = 1874976768. Its totient is φ = 121881600.

The previous prime is 559253909. The next prime is 559253941. The reversal of 559253940 is 49352955.

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 = 559253892 and 559253901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (559253941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 808995 + ... + 809685.

It is an arithmetic number, because the mean of its divisors is an integer number (9765504).

Almost surely, 2^559253940 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 559253940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937488384).

559253940 is an abundant number, since it is smaller than the sum of its proper divisors (1315722828).

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

559253940 is a wasteful number, since it uses less digits than its factorization.

559253940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The square root of 559253940 is about 23648.5504841206. The cubic root of 559253940 is about 823.8908584668.

The spelling of 559253940 in words is "five hundred fifty-nine million, two hundred fifty-three thousand, nine hundred forty".