483168 has 48 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 137856.

The previous prime is 483167. The next prime is 483179. The reversal of 483168 is 861384.

It is a happy number.

483168 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 (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483163) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 313 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁴⁸³¹⁶⁸ is an apocalyptic number.

483168 is a gapful number since it is divisible by the number (48) 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 483168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

483168 is an abundant number, since it is smaller than the sum of its proper divisors (968352).

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

483168 is a wasteful number, since it uses less digits than its factorization.

483168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 731 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 483168 is about 695.1028700847. The cubic root of 483168 is about 78.4692294238.

The spelling of 483168 in words is "four hundred eighty-three thousand, one hundred sixty-eight".