408006 has 24 divisors (see below), whose sum is σ = 931320. Its totient is φ = 128736.

The previous prime is 407993. The next prime is 408011. The reversal of 408006 is 600804.

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

It is a self number, because there is not a number n which added to its sum of digits gives 408006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (38805).

2⁴⁰⁸⁰⁰⁶ is an apocalyptic number.

408006 is an abundant number, since it is smaller than the sum of its proper divisors (523314).

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

408006 is a wasteful number, since it uses less digits than its factorization.

408006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1217 counting only the distinct ones).

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

The square root of 408006 is about 638.7534735718. The cubic root of 408006 is about 74.1689589551.

The spelling of 408006 in words is "four hundred eight thousand, six".