417991 has 8 divisors (see below), whose sum is σ = 481664. Its totient is φ = 355320.

The previous prime is 417983. The next prime is 417997. The reversal of 417991 is 199714.

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

It is not a de Polignac number, because 417991 - 2³ = 417983 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1336 + ... + 1618.

It is an arithmetic number, because the mean of its divisors is an integer number (60208).

2⁴¹⁷⁹⁹¹ is an apocalyptic number.

417991 is a deficient number, since it is larger than the sum of its proper divisors (63673).

417991 is a wasteful number, since it uses less digits than its factorization.

417991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501.

The product of its digits is 2268, while the sum is 31.

The square root of 417991 is about 646.5222347298. The cubic root of 417991 is about 74.7691270688.

The spelling of 417991 in words is "four hundred seventeen thousand, nine hundred ninety-one".