406008 has 24 divisors (see below), whose sum is σ = 1099800. Its totient is φ = 135312.

The previous prime is 405997. The next prime is 406013. The reversal of 406008 is 800604.

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 zygodrome in base 2.

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, 2748 + ... + 2891.

It is an arithmetic number, because the mean of its divisors is an integer number (45825).

2⁴⁰⁶⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

406008 is an abundant number, since it is smaller than the sum of its proper divisors (693792).

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

406008 is a wasteful number, since it uses less digits than its factorization.

406008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5651 (or 5644 counting only the distinct ones).

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

The square root of 406008 is about 637.1875705002. The cubic root of 406008 is about 74.0476926548.

The spelling of 406008 in words is "four hundred six thousand, eight".