480312 has 48 divisors (see below), whose sum is σ = 1488240. Its totient is φ = 137088.

The previous prime is 480299. The next prime is 480317. The reversal of 480312 is 213084.

It is a happy number.

480312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 480312.

It is not an unprimeable number, because it can be changed into a prime (480317) by changing a digit.

480312 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 11 ways as a sum of consecutive naturals, for example, 28 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (31005).

2⁴⁸⁰³¹² is an apocalyptic number.

480312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744120).

480312 is an abundant number, since it is smaller than the sum of its proper divisors (1007928).

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

480312 is a wasteful number, since it uses less digits than its factorization.

480312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 480312 is about 693.0454530548. The cubic root of 480312 is about 78.3143135755.

Adding to 480312 its reverse (213084), we get a palindrome (693396).

The spelling of 480312 in words is "four hundred eighty thousand, three hundred twelve".