559752480 has 216 divisors, whose sum is σ = 2222297532. Its totient is φ = 127927296.

The previous prime is 559752463. The next prime is 559752481. The reversal of 559752480 is 84257955.

559752480 is a `hidden beast` number, since 5 + 597 + 52 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 541399824 + 18352656 = 23268^2 + 4284^2 .

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

It is not an unprimeable number, because it can be changed into a prime (559752481) 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 35 ways as a sum of consecutive naturals, for example, 66594 + ... + 74526.

Almost surely, 2^559752480 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 559752480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111148766).

559752480 is an abundant number, since it is smaller than the sum of its proper divisors (1662545052).

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

559752480 is a wasteful number, since it uses less digits than its factorization.

559752480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7968 (or 7950 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 559752480 is about 23659.0887398479. The cubic root of 559752480 is about 824.1356015249.

The spelling of 559752480 in words is "five hundred fifty-nine million, seven hundred fifty-two thousand, four hundred eighty".