406408 has 16 divisors (see below), whose sum is σ = 783180. Its totient is φ = 197568.

The previous prime is 406403. The next prime is 406423. The reversal of 406408 is 804604.

It can be written as a sum of positive squares in 2 ways, for example, as 289444 + 116964 = 538^2 + 342^2 .

It is not an unprimeable number, because it can be changed into a prime (406403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 391 + ... + 982.

2⁴⁰⁶⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

406408 is a deficient number, since it is larger than the sum of its proper divisors (376772).

406408 is a wasteful number, since it uses less digits than its factorization.

406408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 406408 is about 637.5013725475. The cubic root of 406408 is about 74.0720019914.

The spelling of 406408 in words is "four hundred six thousand, four hundred eight".