417492117 has 64 divisors (see below), whose sum is σ = 739368960. Its totient is φ = 227852352.

The previous prime is 417492079. The next prime is 417492121. The reversal of 417492117 is 711294714.

It is not a de Polignac number, because 417492117 - 2¹⁰ = 417491093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417492157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381423 + ... + 382515.

It is an arithmetic number, because the mean of its divisors is an integer number (11552640).

Almost surely, 2^417492117 is an apocalyptic number.

417492117 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

417492117 is a deficient number, since it is larger than the sum of its proper divisors (321876843).

417492117 is a wasteful number, since it uses less digits than its factorization.

417492117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1193 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 417492117 is about 20432.6238403197. The cubic root of 417492117 is about 747.3936893512.

The spelling of 417492117 in words is "four hundred seventeen million, four hundred ninety-two thousand, one hundred seventeen".