408609 has 12 divisors (see below), whose sum is σ = 598416. Its totient is φ = 268632.

The previous prime is 408607. The next prime is 408623. The reversal of 408609 is 906804.

It is not a de Polignac number, because 408609 - 2¹ = 408607 is a prime.

It is a super-2 number, since 2×408609² = 333922629762, which contains 22 as substring.

408609 is a lucky 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 11 ways as a sum of consecutive naturals, for example, 474 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (49868).

2⁴⁰⁸⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

408609 is a deficient number, since it is larger than the sum of its proper divisors (189807).

408609 is a wasteful number, since it uses less digits than its factorization.

408609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 408609 is about 639.2253123899. The cubic root of 408609 is about 74.2054795516.

It can be divided in two parts, 40 and 8609, that added together give a square (8649 = 93²).

The spelling of 408609 in words is "four hundred eight thousand, six hundred nine".