559405440 has 448 divisors, whose sum is σ = 2207422800. Its totient is φ = 134369280.

The previous prime is 559405439. The next prime is 559405477. The reversal of 559405440 is 44504955.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 559405395 and 559405404.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 5132106 + ... + 5132214.

Almost surely, 2^559405440 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 559405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103711400).

559405440 is an abundant number, since it is smaller than the sum of its proper divisors (1648017360).

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

559405440 is a wasteful number, since it uses less digits than its factorization.

559405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 559405440 is about 23651.7534233722. The cubic root of 559405440 is about 823.9652481652.

The spelling of 559405440 in words is "five hundred fifty-nine million, four hundred five thousand, four hundred forty".