579732480 has 264 divisors, whose sum is σ = 2099927232. Its totient is φ = 147603456.

The previous prime is 579732479. The next prime is 579732481. The reversal of 579732480 is 84237975.

579732480 is a `hidden beast` number, since 57 + 97 + 32 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (579732479) and next prime (579732481).

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 (579732481) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1059567 + ... + 1060113.

Almost surely, 2^579732480 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 579732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049963616).

579732480 is an abundant number, since it is smaller than the sum of its proper divisors (1520194752).

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

579732480 is a wasteful number, since it uses less digits than its factorization.

579732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 579732480 is about 24077.6344353012. The cubic root of 579732480 is about 833.8268536231.

The spelling of 579732480 in words is "five hundred seventy-nine million, seven hundred thirty-two thousand, four hundred eighty".