480585084 has 96 divisors (see below), whose sum is σ = 1321915392. Its totient is φ = 133056000.

The previous prime is 480585059. The next prime is 480585097.

480585084 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363144 + ... + 364464.

It is an arithmetic number, because the mean of its divisors is an integer number (13769952).

Almost surely, 2^480585084 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 480585084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660957696).

480585084 is an abundant number, since it is smaller than the sum of its proper divisors (841330308).

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

480585084 is a wasteful number, since it uses less digits than its factorization.

480585084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 480585084 is about 21922.2508880817. The cubic root of 480585084 is about 783.2915277322.

The spelling of 480585084 in words is "four hundred eighty million, five hundred eighty-five thousand, eighty-four".