480606084 has 72 divisors (see below), whose sum is σ = 1392110720. Its totient is φ = 136950912.

The previous prime is 480606079. The next prime is 480606089.

480606084 is a `hidden beast` number, since 48 + 0 + 6 + 0 + 608 + 4 = 666.

480606084 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (480606079) and next prime (480606089).

It is a super-3 number, since 3×480606084³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (480606089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100737 + ... + 105399.

Almost surely, 2^480606084 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 480606084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696055360).

480606084 is an abundant number, since it is smaller than the sum of its proper divisors (911504636).

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

480606084 is a wasteful number, since it uses less digits than its factorization.

480606084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 480606084 is about 21922.7298482648. The cubic root of 480606084 is about 783.3029366606.

The spelling of 480606084 in words is "four hundred eighty million, six hundred six thousand, eighty-four".