480960 has 84 divisors (see below), whose sum is σ = 1664208. Its totient is φ = 127488.

The previous prime is 480959. The next prime is 480967. The reversal of 480960 is 69084.

It is a super-3 number, since 3×480960³ = 333770639966208000, which contains 333 as substring.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480960.

It is not an unprimeable number, because it can be changed into a prime (480967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2797 + ... + 2963.

It is an arithmetic number, because the mean of its divisors is an integer number (19812).

2⁴⁸⁰⁹⁶⁰ is an apocalyptic number.

480960 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 480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832104).

480960 is an abundant number, since it is smaller than the sum of its proper divisors (1183248).

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

480960 is a wasteful number, since it uses less digits than its factorization.

480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 480960 is about 693.5127972864. The cubic root of 480960 is about 78.3495162984.

The spelling of 480960 in words is "four hundred eighty thousand, nine hundred sixty".