480285 has 24 divisors (see below), whose sum is σ = 897624. Its totient is φ = 236160.

The previous prime is 480209. The next prime is 480287. The reversal of 480285 is 582084.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 480249 = 6^2 + 693^2 .

It is not a de Polignac number, because 480285 - 2⁷ = 480157 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480285.

It is not an unprimeable number, because it can be changed into a prime (480287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175 + ... + 995.

It is an arithmetic number, because the mean of its divisors is an integer number (37401).

2⁴⁸⁰²⁸⁵ is an apocalyptic number.

480285 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

480285 is a deficient number, since it is larger than the sum of its proper divisors (417339).

480285 is a wasteful number, since it uses less digits than its factorization.

480285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 480285 is about 693.0259735392. The cubic root of 480285 is about 78.3128461085.

The spelling of 480285 in words is "four hundred eighty thousand, two hundred eighty-five".