480484084 has 48 divisors (see below), whose sum is σ = 911635200. Its totient is φ = 220838400.

The previous prime is 480484063. The next prime is 480484087.

480484084 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 (480484087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844152 + ... + 844720.

It is an arithmetic number, because the mean of its divisors is an integer number (18992400).

Almost surely, 2^480484084 is an apocalyptic number.

It is an amenable number.

480484084 is a deficient number, since it is larger than the sum of its proper divisors (431151116).

480484084 is a wasteful number, since it uses less digits than its factorization.

480484084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 480484084 is about 21919.9471714692. The cubic root of 480484084 is about 783.2366515756.

It can be divided in two parts, 4804 and 84084, that added together give a palindrome (88888).

The spelling of 480484084 in words is "four hundred eighty million, four hundred eighty-four thousand, eighty-four".