417673 has 8 divisors (see below), whose sum is σ = 449280. Its totient is φ = 386880.

The previous prime is 417671. The next prime is 417691. The reversal of 417673 is 376714.

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

It is a cyclic number.

It is not a de Polignac number, because 417673 - 2¹ = 417671 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417671) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1188 + ... + 1498.

It is an arithmetic number, because the mean of its divisors is an integer number (56160).

2⁴¹⁷⁶⁷³ is an apocalyptic number.

It is an amenable number.

417673 is a deficient number, since it is larger than the sum of its proper divisors (31607).

417673 is a wasteful number, since it uses less digits than its factorization.

417673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407.

The product of its digits is 3528, while the sum is 28.

The square root of 417673 is about 646.2762567200. The cubic root of 417673 is about 74.7501612581.

Adding to 417673 its product of digits (3528), we get a square (421201 = 649²).

The spelling of 417673 in words is "four hundred seventeen thousand, six hundred seventy-three".