417448961 has 2 divisors, whose sum is σ = 417448962. Its totient is φ = 417448960.

The previous prime is 417448951. The next prime is 417449017. The reversal of 417448961 is 169844714.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288490225 + 128958736 = 16985^2 + 11356^2 .

It is a cyclic number.

It is not a de Polignac number, because 417448961 - 2⁶ = 417448897 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (417448901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208724480 + 208724481.

It is an arithmetic number, because the mean of its divisors is an integer number (208724481).

Almost surely, 2^417448961 is an apocalyptic number.

It is an amenable number.

417448961 is a deficient number, since it is larger than the sum of its proper divisors (1).

417448961 is an equidigital number, since it uses as much as digits as its factorization.

417448961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 193536, while the sum is 44.

The square root of 417448961 is about 20431.5677567826. The cubic root of 417448961 is about 747.3679358641.

It can be divided in two parts, 41744 and 8961, that added together give a palindrome (50705).

The spelling of 417448961 in words is "four hundred seventeen million, four hundred forty-eight thousand, nine hundred sixty-one".