483648 has 56 divisors (see below), whose sum is σ = 1402080. Its totient is φ = 145920.

The previous prime is 483643. The next prime is 483649. The reversal of 483648 is 846384.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

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 483648.

It is not an unprimeable number, because it can be changed into a prime (483643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1998 + ... + 2226.

2⁴⁸³⁶⁴⁸ is an apocalyptic number.

483648 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 483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701040).

483648 is an abundant number, since it is smaller than the sum of its proper divisors (918432).

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

483648 is a wasteful number, since it uses less digits than its factorization.

483648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 483648 is about 695.4480570107. The cubic root of 483648 is about 78.4952057331.

It can be divided in two parts, 4836 and 48, that added together give a palindrome (4884).

The spelling of 483648 in words is "four hundred eighty-three thousand, six hundred forty-eight".