10480 has 20 divisors (see below), whose sum is σ = 24552. Its totient is φ = 4160.

The previous prime is 10477. The next prime is 10487. The reversal of 10480 is 8401.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 10480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15 + ... + 145.

2¹⁰⁴⁸⁰ is an apocalyptic number.

10480 is a gapful number since it is divisible by the number (10) 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 10480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276).

10480 is an abundant number, since it is smaller than the sum of its proper divisors (14072).

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

10480 is a wasteful number, since it uses less digits than its factorization.

10480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 10480 is about 102.3718711366. The cubic root of 10480 is about 21.8836836273.

Adding to 10480 its reverse (8401), we get a palindrome (18881).

The spelling of 10480 in words is "ten thousand, four hundred eighty".