480000084 has 24 divisors (see below), whose sum is σ = 1126711488. Its totient is φ = 159041280.

The previous prime is 480000077. The next prime is 480000107.

480000084 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117757 + ... + 121764.

It is an arithmetic number, because the mean of its divisors is an integer number (46946312).

Almost surely, 2^480000084 is an apocalyptic number.

It is an amenable number.

480000084 is an abundant number, since it is smaller than the sum of its proper divisors (646711404).

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

480000084 is a wasteful number, since it uses less digits than its factorization.

480000084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239695 (or 239693 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 480000084 is about 21908.9042172355. The cubic root of 480000084 is about 782.9735739072.

It can be divided in two parts, 4800000 and 84, that added together give a palindrome (4800084).

The spelling of 480000084 in words is "four hundred eighty million, eighty-four", and thus it is an aban number.