483120 has 120 divisors (see below), whose sum is σ = 1798992. Its totient is φ = 115200.

The previous prime is 483097. The next prime is 483127. The reversal of 483120 is 21384.

It is a happy number.

483120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 483093 and 483102.

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 483120.

It is not an unprimeable number, because it can be changed into a prime (483127) by changing a digit.

483120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7890 + ... + 7950.

2⁴⁸³¹²⁰ is an apocalyptic number.

483120 is a gapful number since it is divisible by the number (40) 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 483120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899496).

483120 is an abundant number, since it is smaller than the sum of its proper divisors (1315872).

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

483120 is a wasteful number, since it uses less digits than its factorization.

483120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 82 counting only the distinct ones).

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

The square root of 483120 is about 695.0683419636. The cubic root of 483120 is about 78.4666308468.

It can be divided in two parts, 4831 and 20, that added together give a triangular number (4851 = T₉₈).

The spelling of 483120 in words is "four hundred eighty-three thousand, one hundred twenty".