409047 has 8 divisors (see below), whose sum is σ = 554880. Its totient is φ = 267960.

The previous prime is 409043. The next prime is 409063. The reversal of 409047 is 740904.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 409047 - 2² = 409043 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

409047 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 979 + ... + 1332.

It is an arithmetic number, because the mean of its divisors is an integer number (69360).

2⁴⁰⁹⁰⁴⁷ is an apocalyptic number.

409047 is a deficient number, since it is larger than the sum of its proper divisors (145833).

409047 is a wasteful number, since it uses less digits than its factorization.

409047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 409047 is about 639.5678228304. The cubic root of 409047 is about 74.2319844285.

The spelling of 409047 in words is "four hundred nine thousand, forty-seven".