11408 has 20 divisors (see below), whose sum is σ = 23808. Its totient is φ = 5280.

The previous prime is 11399. The next prime is 11411. The reversal of 11408 is 80411.

It is a happy number.

11408 is an admirable number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 11392 and 11401.

It is an unprimeable number.

11408 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 353 + ... + 383.

2¹¹⁴⁰⁸ is an apocalyptic number.

11408 is the 62-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904).

11408 is an abundant number, since it is smaller than the sum of its proper divisors (12400).

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

11408 is a wasteful number, since it uses less digits than its factorization.

11408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 11408 is about 106.8082393825. The cubic root of 11408 is about 22.5114345172.

Adding to 11408 its reverse (80411), we get a palindrome (91819).

The spelling of 11408 in words is "eleven thousand, four hundred eight".