5408 has 18 divisors (see below), whose sum is σ = 11529. Its totient is φ = 2496.

The previous prime is 5407. The next prime is 5413. The reversal of 5408 is 8045.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4624 + 784 = 68^2 + 28^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=52.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5407) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 410 + ... + 422.

2⁵⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5408

5408 is an abundant number, since it is smaller than the sum of its proper divisors (6121).

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

5408 is a wasteful number, since it uses less digits than its factorization.

5408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 5408 is about 73.5391052434. The cubic root of 5408 is about 17.5527659107.

The spelling of 5408 in words is "five thousand, four hundred eight".