480928 has 48 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 193536.

The previous prime is 480919. The next prime is 480929. The reversal of 480928 is 829084.

480928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480928³ = 333704023512416256, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480928.

It is not an unprimeable number, because it can be changed into a prime (480929) 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, 4200 + ... + 4312.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁴⁸⁰⁹²⁸ 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 480928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

480928 is an abundant number, since it is smaller than the sum of its proper divisors (668192).

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

480928 is a wasteful number, since it uses less digits than its factorization.

480928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 480928 is about 693.4897259513. The cubic root of 480928 is about 78.3477786347.

The spelling of 480928 in words is "four hundred eighty thousand, nine hundred twenty-eight".