480060084 has 96 divisors (see below), whose sum is σ = 1355397120. Its totient is φ = 129322368.

The previous prime is 480060083. The next prime is 480060107.

480060084 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480060083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102457 + ... + 107039.

It is an arithmetic number, because the mean of its divisors is an integer number (14118720).

Almost surely, 2^480060084 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 480060084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677698560).

480060084 is an abundant number, since it is smaller than the sum of its proper divisors (875337036).

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

480060084 is a wasteful number, since it uses less digits than its factorization.

480060084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4669 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 480060084 is about 21910.2734807213. The cubic root of 480060084 is about 783.0061964412.

The spelling of 480060084 in words is "four hundred eighty million, sixty thousand, eighty-four".