480320 has 56 divisors (see below), whose sum is σ = 1219200. Its totient is φ = 179712.

The previous prime is 480317. The next prime is 480329. The reversal of 480320 is 23084.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480320.

It is not an unprimeable number, because it can be changed into a prime (480329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6041 + ... + 6119.

2⁴⁸⁰³²⁰ is an apocalyptic number.

480320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609600).

480320 is an abundant number, since it is smaller than the sum of its proper divisors (738880).

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

480320 is a wasteful number, since it uses less digits than its factorization.

480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 480320 is about 693.0512246580. The cubic root of 480320 is about 78.3147483700.

The spelling of 480320 in words is "four hundred eighty thousand, three hundred twenty".