408606 has 32 divisors (see below), whose sum is σ = 919296. Its totient is φ = 120000.

The previous prime is 408563. The next prime is 408607. The reversal of 408606 is 606804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2631 + ... + 2781.

It is an arithmetic number, because the mean of its divisors is an integer number (28728).

2⁴⁰⁸⁶⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648).

408606 is an abundant number, since it is smaller than the sum of its proper divisors (510690).

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

408606 is a wasteful number, since it uses less digits than its factorization.

408606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 408606 is about 639.2229657952. Note that the first 3 decimals coincide. The cubic root of 408606 is about 74.2052979461.

It can be divided in two parts, 40 and 8606, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 408606 in words is "four hundred eight thousand, six hundred six".