416966 has 12 divisors (see below), whose sum is σ = 687876. Its totient is φ = 189420.

The previous prime is 416963. The next prime is 416989. The reversal of 416966 is 669614.

It is a super-3 number, since 3×416966³ = 217481933304350088, which contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 620 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (57323).

2⁴¹⁶⁹⁶⁶ is an apocalyptic number.

416966 is a deficient number, since it is larger than the sum of its proper divisors (270910).

416966 is a wasteful number, since it uses less digits than its factorization.

416966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1736 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 416966 is about 645.7290453433. The cubic root of 416966 is about 74.7079606122.

It can be divided in two parts, 416 and 966, that multiplied together give a triangular number (401856 = T₈₉₆).

The spelling of 416966 in words is "four hundred sixteen thousand, nine hundred sixty-six".