579047680 has 72 divisors (see below), whose sum is σ = 1406227032. Its totient is φ = 228409344.

The previous prime is 579047663. The next prime is 579047681. The reversal of 579047680 is 86740975.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51151104 + 527896576 = 7152^2 + 22976^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 579047680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579047681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90342 + ... + 96538.

It is an arithmetic number, because the mean of its divisors is an integer number (19530931).

Almost surely, 2^579047680 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 579047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703113516).

579047680 is an abundant number, since it is smaller than the sum of its proper divisors (827179352).

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

579047680 is an equidigital number, since it uses as much as digits as its factorization.

579047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6291 (or 6277 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The square root of 579047680 is about 24063.4095672247. The cubic root of 579047680 is about 833.4984092533.

The spelling of 579047680 in words is "five hundred seventy-nine million, forty-seven thousand, six hundred eighty".