417820005 has 32 divisors (see below), whose sum is σ = 755395200. Its totient is φ = 219056256.

The previous prime is 417819977. The next prime is 417820009. The reversal of 417820005 is 500028714.

It is not a de Polignac number, because 417820005 - 2⁸ = 417819749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417820009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18264 + ... + 34193.

It is an arithmetic number, because the mean of its divisors is an integer number (23606100).

Almost surely, 2^417820005 is an apocalyptic number.

417820005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

417820005 is a deficient number, since it is larger than the sum of its proper divisors (337575195).

417820005 is a wasteful number, since it uses less digits than its factorization.

417820005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52530 (or 52524 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 417820005 is about 20440.6459046675. The cubic root of 417820005 is about 747.5892996673.

Adding to 417820005 its reverse (500028714), we get a palindrome (917848719).

The spelling of 417820005 in words is "four hundred seventeen million, eight hundred twenty thousand, five".