19480 has 16 divisors (see below), whose sum is σ = 43920. Its totient is φ = 7776.

The previous prime is 19477. The next prime is 19483. The reversal of 19480 is 8491.

19480 = T₉ + T₁₀ + ... + T₄₈.

It is an interprime number because it is at equal distance from previous prime (19477) and next prime (19483).

It is an Ulam number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 204 + ... + 283.

It is an arithmetic number, because the mean of its divisors is an integer number (2745).

2¹⁹⁴⁸⁰ is an apocalyptic number.

19480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19480 is an abundant number, since it is smaller than the sum of its proper divisors (24440).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21960).

19480 is a wasteful number, since it uses less digits than its factorization.

19480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 19480 is about 139.5707705789. The cubic root of 19480 is about 26.9068578398.

The spelling of 19480 in words is "nineteen thousand, four hundred eighty".