480768 has 40 divisors (see below), whose sum is σ = 1284888. Its totient is φ = 159744.

The previous prime is 480761. The next prime is 480773. The reversal of 480768 is 867084.

480768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480768³ = 333371074198634496, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480761) by changing a digit.

480768 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1380 + ... + 1692.

2⁴⁸⁰⁷⁶⁸ is an apocalyptic number.

480768 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 480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642444).

480768 is an abundant number, since it is smaller than the sum of its proper divisors (804120).

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

480768 is an equidigital number, since it uses as much as digits as its factorization.

480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 480768 is about 693.3743577607. The cubic root of 480768 is about 78.3390891601.

It can be divided in two parts, 48076 and 8, that added together give a palindrome (48084).

The spelling of 480768 in words is "four hundred eighty thousand, seven hundred sixty-eight".