579828480 has 576 divisors, whose sum is σ = 2415909888. Its totient is φ = 115015680.

The previous prime is 579828467. The next prime is 579828481. The reversal of 579828480 is 84828975.

It is a happy number.

It is a super-2 number, since 2×579828480² = 672402132438220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (579828481) 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, 10940134 + ... + 10940186.

It is an arithmetic number, because the mean of its divisors is an integer number (4194288).

Almost surely, 2^579828480 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 579828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207954944).

579828480 is an abundant number, since it is smaller than the sum of its proper divisors (1836081408).

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

579828480 is a wasteful number, since it uses less digits than its factorization.

579828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The square root of 579828480 is about 24079.6279041018. The cubic root of 579828480 is about 833.8728765519.

The spelling of 579828480 in words is "five hundred seventy-nine million, eight hundred twenty-eight thousand, four hundred eighty".