420301417 has 2 divisors, whose sum is σ = 420301418. Its totient is φ = 420301416.

The previous prime is 420301411. The next prime is 420301429. The reversal of 420301417 is 714103024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 420209001 + 92416 = 20499^2 + 304^2 .

It is a cyclic number.

It is not a de Polignac number, because 420301417 - 2¹⁵ = 420268649 is a prime.

It is a super-2 number, since 2×420301417² = 353306562264415778, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (420301411) 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, 210150708 + 210150709.

It is an arithmetic number, because the mean of its divisors is an integer number (210150709).

Almost surely, 2^420301417 is an apocalyptic number.

It is an amenable number.

420301417 is a deficient number, since it is larger than the sum of its proper divisors (1).

420301417 is an equidigital number, since it uses as much as digits as its factorization.

420301417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 420301417 is about 20501.2540348146. The cubic root of 420301417 is about 749.0663445694.

The spelling of 420301417 in words is "four hundred twenty million, three hundred one thousand, four hundred seventeen".