19408 has 10 divisors (see below), whose sum is σ = 37634. Its totient is φ = 9696.

The previous prime is 19403. The next prime is 19417. The reversal of 19408 is 80491.

It can be written as a sum of positive squares in only one way, i.e., 11664 + 7744 = 108^2 + 88^2 .

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19403) by changing a digit.

19408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 591 + ... + 622.

2¹⁹⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

19408 is a deficient number, since it is larger than the sum of its proper divisors (18226).

19408 is a wasteful number, since it uses less digits than its factorization.

19408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1215 counting only the distinct ones).

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

The square root of 19408 is about 139.3125981381. The cubic root of 19408 is about 26.8736667808.

Adding to 19408 its reverse (80491), we get a palindrome (99899).

It can be divided in two parts, 1 and 9408, that added together give a square (9409 = 97²).

The spelling of 19408 in words is "nineteen thousand, four hundred eight".