480820 has 24 divisors (see below), whose sum is σ = 1045800. Its totient is φ = 185472.

The previous prime is 480803. The next prime is 480827. The reversal of 480820 is 28084.

480820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 417316 = 252^2 + 646^2 .

It is a super-3 number, since 3×480820³ = 333479258422104000, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480791 and 480800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480827) by changing a digit.

480820 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, 166 + ... + 994.

It is an arithmetic number, because the mean of its divisors is an integer number (43575).

2⁴⁸⁰⁸²⁰ 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 480820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522900).

480820 is an abundant number, since it is smaller than the sum of its proper divisors (564980).

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

480820 is a wasteful number, since it uses less digits than its factorization.

480820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 480820 is about 693.4118545280. The cubic root of 480820 is about 78.3419134508.

The spelling of 480820 in words is "four hundred eighty thousand, eight hundred twenty".