480 has 24 divisors (see below), whose sum is σ = 1512. Its totient is φ = 128.

The previous prime is 479. The next prime is 487. The reversal of 480 is 84.

Adding to 480 its product of nonzero digits (32), we get a 9-th power (512 = 2^{9}).

480 divided by its product of nonzero digits (32) gives a triangular number (15 = T_{5}).

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)^{2}.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 13.

It is a nialpdrome in base 2, base 8 and base 15.

It is a zygodrome in base 2.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 10 × 6 × 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487) by changing a digit.

In principle, a polygon with 480 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94 + ... + 98.

It is an arithmetic number, because the mean of its divisors is an integer number (63).

480 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 480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756).

480 is an abundant number, since it is smaller than the sum of its proper divisors (1032).

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

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

480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 480 is about 21.9089023002. The cubic root of 480 is about 7.8297352823.

The spelling of 480 in words is "four hundred eighty", and thus it is an aban number.

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