480912 has 40 divisors (see below), whose sum is σ = 1276704. Its totient is φ = 155904.

The previous prime is 480911. The next prime is 480919. The reversal of 480912 is 219084.

It is a super-3 number, since 3×480912³ = 333670718609731584, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480912.

It is not an unprimeable number, because it can be changed into a prime (480911) 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, 1948 + ... + 2180.

2⁴⁸⁰⁹¹² 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 480912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638352).

480912 is an abundant number, since it is smaller than the sum of its proper divisors (795792).

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

480912 is a wasteful number, since it uses less digits than its factorization.

480912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 480912 is about 693.4781899959. The cubic root of 480912 is about 78.3469097740.

Adding to 480912 its reverse (219084), we get a palindrome (699996).

The spelling of 480912 in words is "four hundred eighty thousand, nine hundred twelve".