480284 has 24 divisors (see below), whose sum is σ = 1018080. Its totient is φ = 193536.

The previous prime is 480209. The next prime is 480287. The reversal of 480284 is 482084.

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 480284.

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 7 ways as a sum of consecutive naturals, for example, 29 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (42420).

2⁴⁸⁰²⁸⁴ 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 480284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509040).

480284 is an abundant number, since it is smaller than the sum of its proper divisors (537796).

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

480284 is a wasteful number, since it uses less digits than its factorization.

480284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 480284 is about 693.0252520652. The cubic root of 480284 is about 78.3127917568.

The spelling of 480284 in words is "four hundred eighty thousand, two hundred eighty-four".