417981321 has 24 divisors (see below), whose sum is σ = 628247880. Its totient is φ = 267461376.

The previous prime is 417981281. The next prime is 417981349. The reversal of 417981321 is 123189714.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56791296 + 361190025 = 7536^2 + 19005^2 .

It is not a de Polignac number, because 417981321 - 2⁹ = 417980809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (417986321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40525 + ... + 49781.

It is an arithmetic number, because the mean of its divisors is an integer number (26176995).

Almost surely, 2^417981321 is an apocalyptic number.

It is an amenable number.

417981321 is a deficient number, since it is larger than the sum of its proper divisors (210266559).

417981321 is a wasteful number, since it uses less digits than its factorization.

417981321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9465 (or 9462 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 417981321 is about 20444.5914852804. The cubic root of 417981321 is about 747.6854994637.

The spelling of 417981321 in words is "four hundred seventeen million, nine hundred eighty-one thousand, three hundred twenty-one".