414006 has 8 divisors (see below), whose sum is σ = 828024. Its totient is φ = 138000.

The previous prime is 413981. The next prime is 414013. The reversal of 414006 is 600414.

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

414006 is an admirable 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 3 ways as a sum of consecutive naturals, for example, 34495 + ... + 34506.

It is an arithmetic number, because the mean of its divisors is an integer number (103503).

2⁴¹⁴⁰⁰⁶ is an apocalyptic number.

414006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

414006 is a wasteful number, since it uses less digits than its factorization.

414006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69006.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 414006 is about 643.4329801930. The cubic root of 414006 is about 74.5307591857.

The spelling of 414006 in words is "four hundred fourteen thousand, six".