409406 has 8 divisors (see below), whose sum is σ = 617160. Its totient is φ = 203688.

The previous prime is 409397. The next prime is 409429. The reversal of 409406 is 604904.

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

It is a super-2 number, since 2×409406² = 335226545672, which contains 22 as substring.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

409406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 185 + ... + 923.

It is an arithmetic number, because the mean of its divisors is an integer number (77145).

2⁴⁰⁹⁴⁰⁶ is an apocalyptic number.

409406 is a deficient number, since it is larger than the sum of its proper divisors (207754).

409406 is a wasteful number, since it uses less digits than its factorization.

409406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 409406 is about 639.8484195495. The cubic root of 409406 is about 74.2536946394.

The spelling of 409406 in words is "four hundred nine thousand, four hundred six".