8406 has 12 divisors (see below), whose sum is σ = 18252. Its totient is φ = 2796.

The previous prime is 8389. The next prime is 8419. The reversal of 8406 is 6048.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 467 = 8406 / (8 + 4 + 0 + 6).

It is a plaindrome in base 7.

It is a congruent number.

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, 216 + ... + 251.

It is an arithmetic number, because the mean of its divisors is an integer number (1521).

2⁸⁴⁰⁶ is an apocalyptic number.

8406 is an abundant number, since it is smaller than the sum of its proper divisors (9846).

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

8406 is a wasteful number, since it uses less digits than its factorization.

8406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 472 counting only the distinct ones).

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

The square root of 8406 is about 91.6842407396. The cubic root of 8406 is about 20.3327659670.

It can be divided in two parts, 8 and 406, that added together give a palindrome (414).

The spelling of 8406 in words is "eight thousand, four hundred six".