409644 has 24 divisors (see below), whose sum is σ = 1062320. Its totient is φ = 136512.

The previous prime is 409639. The next prime is 409657. The reversal of 409644 is 446904.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1789 + ... + 2004.

2⁴⁰⁹⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

409644 is an abundant number, since it is smaller than the sum of its proper divisors (652676).

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

409644 is a wasteful number, since it uses less digits than its factorization.

409644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 409644 is about 640.0343740769. The cubic root of 409644 is about 74.2680804862.

The spelling of 409644 in words is "four hundred nine thousand, six hundred forty-four".