420434321 has 2 divisors, whose sum is σ = 420434322. Its totient is φ = 420434320.

The previous prime is 420434297. The next prime is 420434323. The reversal of 420434321 is 123434024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 337824400 + 82609921 = 18380^2 + 9089^2 .

It is a cyclic number.

It is not a de Polignac number, because 420434321 - 2¹⁴ = 420417937 is a prime.

It is a Sophie Germain prime.

Together with 420434323, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (420434323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210217160 + 210217161.

It is an arithmetic number, because the mean of its divisors is an integer number (210217161).

Almost surely, 2^420434321 is an apocalyptic number.

It is an amenable number.

420434321 is a deficient number, since it is larger than the sum of its proper divisors (1).

420434321 is an equidigital number, since it uses as much as digits as its factorization.

420434321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 420434321 is about 20504.4951413099. The cubic root of 420434321 is about 749.1452906288.

Adding to 420434321 its reverse (123434024), we get a palindrome (543868345).

It can be divided in two parts, 42043 and 4321, that added together give a palindrome (46364).

The spelling of 420434321 in words is "four hundred twenty million, four hundred thirty-four thousand, three hundred twenty-one".