416968 has 8 divisors (see below), whose sum is σ = 781830. Its totient is φ = 208480.

The previous prime is 416963. The next prime is 416989. The reversal of 416968 is 869614.

It can be written as a sum of positive squares in only one way, i.e., 315844 + 101124 = 562^2 + 318^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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

416968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26053 + ... + 26068.

2⁴¹⁶⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

416968 is a deficient number, since it is larger than the sum of its proper divisors (364862).

416968 is a wasteful number, since it uses less digits than its factorization.

416968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52127 (or 52123 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 416968 is about 645.7305939786. The cubic root of 416968 is about 74.7080800590.

The spelling of 416968 in words is "four hundred sixteen thousand, nine hundred sixty-eight".