480666084 has 12 divisors (see below), whose sum is σ = 1121554224. Its totient is φ = 160222024.

The previous prime is 480666073. The next prime is 480666089.

480666084 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×480666084³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480666089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20027742 + ... + 20027765.

It is an arithmetic number, because the mean of its divisors is an integer number (93462852).

Almost surely, 2^480666084 is an apocalyptic number.

It is an amenable number.

480666084 is an abundant number, since it is smaller than the sum of its proper divisors (640888140).

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

480666084 is a wasteful number, since it uses less digits than its factorization.

480666084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40055514 (or 40055512 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 480666084 is about 21924.0982482747. The cubic root of 480666084 is about 783.3355317679.

The spelling of 480666084 in words is "four hundred eighty million, six hundred sixty-six thousand, eighty-four".