579348480 has 96 divisors (see below), whose sum is σ = 1853560800. Its totient is φ = 154484736.

The previous prime is 579348463. The next prime is 579348487. The reversal of 579348480 is 84843975.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×579348480² = 671289322556620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (579348487) 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, 21291 + ... + 40149.

It is an arithmetic number, because the mean of its divisors is an integer number (19307925).

Almost surely, 2^579348480 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 579348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926780400).

579348480 is an abundant number, since it is smaller than the sum of its proper divisors (1274212320).

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

579348480 is a wasteful number, since it uses less digits than its factorization.

579348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18889 (or 18869 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 579348480 is about 24069.6589090913. The cubic root of 579348480 is about 833.6427110838.

The spelling of 579348480 in words is "five hundred seventy-nine million, three hundred forty-eight thousand, four hundred eighty".