420459301 has 2 divisors, whose sum is σ = 420459302. Its totient is φ = 420459300.

The previous prime is 420459271. The next prime is 420459331. The reversal of 420459301 is 103954024.

It is a balanced prime because it is at equal distance from previous prime (420459271) and next prime (420459331).

It can be written as a sum of positive squares in only one way, i.e., 405821025 + 14638276 = 20145^2 + 3826^2 .

It is a cyclic number.

It is not a de Polignac number, because 420459301 - 2⁵ = 420459269 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420459301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420459331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210229650 + 210229651.

It is an arithmetic number, because the mean of its divisors is an integer number (210229651).

Almost surely, 2^420459301 is an apocalyptic number.

It is an amenable number.

420459301 is a deficient number, since it is larger than the sum of its proper divisors (1).

420459301 is an equidigital number, since it uses as much as digits as its factorization.

420459301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 420459301 is about 20505.1042669868. The cubic root of 420459301 is about 749.1601270950.

The spelling of 420459301 in words is "four hundred twenty million, four hundred fifty-nine thousand, three hundred one".