8408 has 8 divisors (see below), whose sum is σ = 15780. Its totient is φ = 4200.

The previous prime is 8389. The next prime is 8419. The reversal of 8408 is 8048.

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 8408.

It is a congruent number.

It is an unprimeable 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 as a sum of consecutive naturals, namely, 518 + ... + 533.

2⁸⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

8408 is a deficient number, since it is larger than the sum of its proper divisors (7372).

8408 is a wasteful number, since it uses less digits than its factorization.

8408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 8408 is about 91.6951470908. The cubic root of 8408 is about 20.3343783989.

It can be divided in two parts, 840 and 8, that added together give a palindrome (848).

The spelling of 8408 in words is "eight thousand, four hundred eight".