414009966 has 8 divisors (see below), whose sum is σ = 828019944. Its totient is φ = 138003320.

The previous prime is 414009961. The next prime is 414009979. The reversal of 414009966 is 669900414.

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

414009966 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414009961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34500825 + ... + 34500836.

It is an arithmetic number, because the mean of its divisors is an integer number (103502493).

Almost surely, 2^414009966 is an apocalyptic number.

414009966 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.

414009966 is a wasteful number, since it uses less digits than its factorization.

414009966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69001666.

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 414009966 is about 20347.2348489912. The cubic root of 414009966 is about 745.3099717585.

The spelling of 414009966 in words is "four hundred fourteen million, nine thousand, nine hundred sixty-six".