17480 has 32 divisors (see below), whose sum is σ = 43200. Its totient is φ = 6336.

The previous prime is 17477. The next prime is 17483. The reversal of 17480 is 8471.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (17477) and next prime (17483).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 16.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

2¹⁷⁴⁸⁰ is an apocalyptic number.

17480 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 17480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600).

17480 is an abundant number, since it is smaller than the sum of its proper divisors (25720).

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

17480 is a wasteful number, since it uses less digits than its factorization.

17480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 17480 is about 132.2119510483. The cubic root of 17480 is about 25.9525762741.

Subtracting from 17480 its reverse (8471), we obtain a palindrome (9009).

The spelling of 17480 in words is "seventeen thousand, four hundred eighty".