559249920 has 480 divisors, whose sum is σ = 2144862720. Its totient is φ = 139345920.

The previous prime is 559249913. The next prime is 559249921. The reversal of 559249920 is 29942955.

559249920 is a `hidden beast` number, since 55 + 92 + 499 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (559249921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18040305 + ... + 18040335.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2^559249920 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 559249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072431360).

559249920 is an abundant number, since it is smaller than the sum of its proper divisors (1585612800).

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

559249920 is an equidigital number, since it uses as much as digits as its factorization.

559249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 559249920 is about 23648.4654893293. The cubic root of 559249920 is about 823.8888843790. Note that the first 5 decimals are identical.

The spelling of 559249920 in words is "five hundred fifty-nine million, two hundred forty-nine thousand, nine hundred twenty".