579904 has 56 divisors (see below), whose sum is σ = 1344168. Its totient is φ = 245760.

The previous prime is 579893. The next prime is 579907. The reversal of 579904 is 409975.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 577600 = 48^2 + 760^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 579904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579907) by changing a digit.

579904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 14124 + ... + 14164.

It is an arithmetic number, because the mean of its divisors is an integer number (24003).

2⁵⁷⁹⁹⁰⁴ 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 579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672084).

579904 is an abundant number, since it is smaller than the sum of its proper divisors (764264).

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

579904 is a wasteful number, since it uses less digits than its factorization.

579904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 579904 is about 761.5142808904. The cubic root of 579904 is about 83.3909077686.

The spelling of 579904 in words is "five hundred seventy-nine thousand, nine hundred four".