419009321 has 2 divisors, whose sum is σ = 419009322. Its totient is φ = 419009320.

The previous prime is 419009281. The next prime is 419009323. The reversal of 419009321 is 123900914.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 346146025 + 72863296 = 18605^2 + 8536^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-419009321 is a prime.

It is a super-2 number, since 2×419009321² = 351137622169762082, which contains 22 as substring.

Together with 419009323, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (419009323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 209504660 + 209504661.

It is an arithmetic number, because the mean of its divisors is an integer number (209504661).

Almost surely, 2^419009321 is an apocalyptic number.

It is an amenable number.

419009321 is a deficient number, since it is larger than the sum of its proper divisors (1).

419009321 is an equidigital number, since it uses as much as digits as its factorization.

419009321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 419009321 is about 20469.7171695165. The cubic root of 419009321 is about 748.2979601877.

The spelling of 419009321 in words is "four hundred nineteen million, nine thousand, three hundred twenty-one".