559104000 has 480 divisors, whose sum is σ = 2290020096. Its totient is φ = 117964800.

The previous prime is 559103971. The next prime is 559104031. The reversal of 559104000 is 401955.

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43007994 + ... + 43008006.

Almost surely, 2^559104000 is an apocalyptic number.

559104000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 559104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145010048).

559104000 is an abundant number, since it is smaller than the sum of its proper divisors (1730916096).

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

559104000 is an equidigital number, since it uses as much as digits as its factorization.

559104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 559104000 is about 23645.3800984463. The cubic root of 559104000 is about 823.8172215324.

Adding to 559104000 its reverse (401955), we get a palindrome (559505955).

The spelling of 559104000 in words is "five hundred fifty-nine million, one hundred four thousand".