409008 has 20 divisors (see below), whose sum is σ = 1056728. Its totient is φ = 136320.

The previous prime is 409007. The next prime is 409021. The reversal of 409008 is 800904.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409007) 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, 4213 + ... + 4308.

2⁴⁰⁹⁰⁰⁸ is an apocalyptic number.

409008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

409008 is an abundant number, since it is smaller than the sum of its proper divisors (647720).

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

409008 is a wasteful number, since it uses less digits than its factorization.

409008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8532 (or 8526 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 409008 is about 639.5373327649. The cubic root of 409008 is about 74.2296251728.

The spelling of 409008 in words is "four hundred nine thousand, eight".