480360 has 32 divisors (see below), whose sum is σ = 1441440. Its totient is φ = 128064.

The previous prime is 480349. The next prime is 480367. The reversal of 480360 is 63084.

480360 = T₅₅ + T₅₆ + ... + T₁₄₄.

480360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (480367) by changing a digit.

480360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1882 + ... + 2121.

It is an arithmetic number, because the mean of its divisors is an integer number (45045).

2⁴⁸⁰³⁶⁰ is an apocalyptic number.

480360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480360 is an abundant number, since it is smaller than the sum of its proper divisors (961080).

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

480360 is a wasteful number, since it uses less digits than its factorization.

480360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 480360 is about 693.0800819530. The cubic root of 480360 is about 78.3169222700.

The spelling of 480360 in words is "four hundred eighty thousand, three hundred sixty".