409983 has 12 divisors (see below), whose sum is σ = 636120. Its totient is φ = 234192.

The previous prime is 409967. The next prime is 409987. The reversal of 409983 is 389904.

It is not a de Polignac number, because 409983 - 2⁴ = 409967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1248 + ... + 1541.

It is an arithmetic number, because the mean of its divisors is an integer number (53010).

2⁴⁰⁹⁹⁸³ is an apocalyptic number.

409983 is a deficient number, since it is larger than the sum of its proper divisors (226137).

409983 is a wasteful number, since it uses less digits than its factorization.

409983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 409983 is about 640.2991488359. The cubic root of 409983 is about 74.2885616336.

The spelling of 409983 in words is "four hundred nine thousand, nine hundred eighty-three".