6408 has 24 divisors (see below), whose sum is σ = 17550. Its totient is φ = 2112.

The previous prime is 6397. The next prime is 6421. The reversal of 6408 is 8046.

It can be written as a sum of positive squares in only one way, i.e., 6084 + 324 = 78^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13 and base 14.

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28 + ... + 116.

2⁶⁴⁰⁸ 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 6408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775).

6408 is an abundant number, since it is smaller than the sum of its proper divisors (11142).

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

6408 is a wasteful number, since it uses less digits than its factorization.

6408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6408 is about 80.0499843848. The cubic root of 6408 is about 18.5740880948.

Subtracting from 6408 its product of nonzero digits (192), we obtain a triangular number (6216 = T₁₁₁).

It can be divided in two parts, 6 and 408, that added together give a palindrome (414).

The spelling of 6408 in words is "six thousand, four hundred eight".