417984373 has 2 divisors, whose sum is σ = 417984374. Its totient is φ = 417984372.

The previous prime is 417984367. The next prime is 417984419. The reversal of 417984373 is 373489714.

It is the 8347-th star number.

It is an a-pointer prime, because the next prime (417984419) can be obtained adding 417984373 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 415222129 + 2762244 = 20377^2 + 1662^2 .

It is a cyclic number.

It is not a de Polignac number, because 417984373 - 2⁹ = 417983861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417984353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208992186 + 208992187.

It is an arithmetic number, because the mean of its divisors is an integer number (208992187).

Almost surely, 2^417984373 is an apocalyptic number.

It is an amenable number.

417984373 is a deficient number, since it is larger than the sum of its proper divisors (1).

417984373 is an equidigital number, since it uses as much as digits as its factorization.

417984373 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 508032, while the sum is 46.

The square root of 417984373 is about 20444.6661259117. Note that the first 3 decimals coincide. The cubic root of 417984373 is about 747.6873192663.

The spelling of 417984373 in words is "four hundred seventeen million, nine hundred eighty-four thousand, three hundred seventy-three".