414966 has 32 divisors (see below), whose sum is σ = 903168. Its totient is φ = 126720.

The previous prime is 414959. The next prime is 414971. The reversal of 414966 is 669414.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 414966.

It is an unprimeable number.

414966 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4230 + ... + 4326.

It is an arithmetic number, because the mean of its divisors is an integer number (28224).

2⁴¹⁴⁹⁶⁶ is an apocalyptic number.

414966 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

414966 is an abundant number, since it is smaller than the sum of its proper divisors (488202).

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

414966 is a wasteful number, since it uses less digits than its factorization.

414966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156.

The product of its digits is 5184, while the sum is 30.

The square root of 414966 is about 644.1785466779. The cubic root of 414966 is about 74.5883221975.

The spelling of 414966 in words is "four hundred fourteen thousand, nine hundred sixty-six".