414005 has 8 divisors (see below), whose sum is σ = 513024. Its totient is φ = 320400.

The previous prime is 413981. The next prime is 414013. The reversal of 414005 is 500414.

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

It is not a de Polignac number, because 414005 - 2¹² = 409909 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

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, 1181 + ... + 1490.

It is an arithmetic number, because the mean of its divisors is an integer number (64128).

2⁴¹⁴⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

414005 is a deficient number, since it is larger than the sum of its proper divisors (99019).

414005 is a wasteful number, since it uses less digits than its factorization.

414005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707.

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 414005 is about 643.4322031108. The cubic root of 414005 is about 74.5306991779.

Adding to 414005 its reverse (500414), we get a palindrome (914419).

The spelling of 414005 in words is "four hundred fourteen thousand, five".