417384949 has 2 divisors, whose sum is σ = 417384950. Its totient is φ = 417384948.

The previous prime is 417384917. The next prime is 417384959. The reversal of 417384949 is 949483714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 417384900 + 49 = 20430^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 417384949 - 2⁵ = 417384917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (417384959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208692474 + 208692475.

It is an arithmetic number, because the mean of its divisors is an integer number (208692475).

Almost surely, 2^417384949 is an apocalyptic number.

It is an amenable number.

417384949 is a deficient number, since it is larger than the sum of its proper divisors (1).

417384949 is an equidigital number, since it uses as much as digits as its factorization.

417384949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 870912, while the sum is 49.

The square root of 417384949 is about 20430.0011992168. The cubic root of 417384949 is about 747.3297332204.

Subtracting from 417384949 its sum of digits (49), we obtain a square (417384900 = 20430²).

It can be divided in two parts, 4173849 and 49, that multiplied together give a square (204518601 = 14301²).

The spelling of 417384949 in words is "four hundred seventeen million, three hundred eighty-four thousand, nine hundred forty-nine".