579860480 has 96 divisors (see below), whose sum is σ = 1473610320. Its totient is φ = 218234880.

The previous prime is 579860473. The next prime is 579860483. The reversal of 579860480 is 84068975.

It is a super-4 number, since 4×579860480⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579860483) 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, 172415 + ... + 175745.

Almost surely, 2^579860480 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 579860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736805160).

579860480 is an abundant number, since it is smaller than the sum of its proper divisors (893749840).

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

579860480 is a wasteful number, since it uses less digits than its factorization.

579860480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 579860480 is about 24080.2923570292. The cubic root of 579860480 is about 833.8882163993. Note that the first 3 decimals are identical.

The spelling of 579860480 in words is "five hundred seventy-nine million, eight hundred sixty thousand, four hundred eighty".