480308220 has 144 divisors (see below), whose sum is σ = 1752791040. Its totient is φ = 104001408.

The previous prime is 480308209. The next prime is 480308251. The reversal of 480308220 is 22803084.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13909 + ... + 33971.

It is an arithmetic number, because the mean of its divisors is an integer number (12172160).

Almost surely, 2^480308220 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 480308220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876395520).

480308220 is an abundant number, since it is smaller than the sum of its proper divisors (1272482820).

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

480308220 is a wasteful number, since it uses less digits than its factorization.

480308220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20104 (or 20099 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 480308220 is about 21915.9352983166. The cubic root of 480308220 is about 783.1410813345.

The spelling of 480308220 in words is "four hundred eighty million, three hundred eight thousand, two hundred twenty".