579280 has 40 divisors (see below), whose sum is σ = 1453032. Its totient is φ = 213504.

The previous prime is 579277. The next prime is 579281. The reversal of 579280 is 82975.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 571536 = 88^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579281) 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, 762 + ... + 1318.

2⁵⁷⁹²⁸⁰ 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 579280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726516).

579280 is an abundant number, since it is smaller than the sum of its proper divisors (873752).

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

579280 is a wasteful number, since it uses less digits than its factorization.

579280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 579280 is about 761.1044606360. The cubic root of 579280 is about 83.3609863782.

The spelling of 579280 in words is "five hundred seventy-nine thousand, two hundred eighty".