417968 has 20 divisors (see below), whose sum is σ = 819888. Its totient is φ = 206400.

The previous prime is 417961. The next prime is 417983. The reversal of 417968 is 869714.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417961) by changing a digit.

417968 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2330 + ... + 2502.

2⁴¹⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

417968 is a deficient number, since it is larger than the sum of its proper divisors (401920).

417968 is a wasteful number, since it uses less digits than its factorization.

417968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 417968 is about 646.5044470071. The cubic root of 417968 is about 74.7677556506.

The spelling of 417968 in words is "four hundred seventeen thousand, nine hundred sixty-eight".