579480 has 64 divisors (see below), whose sum is σ = 1900800. Its totient is φ = 140160.

The previous prime is 579473. The next prime is 579497. The reversal of 579480 is 84975.

579480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

579480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101 + ... + 1539.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2⁵⁷⁹⁴⁸⁰ 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 579480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950400).

579480 is an abundant number, since it is smaller than the sum of its proper divisors (1321320).

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

579480 is a wasteful number, since it uses less digits than its factorization.

579480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 579480 is about 761.2358373067. The cubic root of 579480 is about 83.3705789063.

The spelling of 579480 in words is "five hundred seventy-nine thousand, four hundred eighty".