420444257 has 2 divisors, whose sum is σ = 420444258. Its totient is φ = 420444256.

The previous prime is 420444251. The next prime is 420444263. The reversal of 420444257 is 752444024.

It is a balanced prime because it is at equal distance from previous prime (420444251) and next prime (420444263).

It can be written as a sum of positive squares in only one way, i.e., 223771681 + 196672576 = 14959^2 + 14024^2 .

It is a cyclic number.

It is not a de Polignac number, because 420444257 - 2¹⁴ = 420427873 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (420444251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210222128 + 210222129.

It is an arithmetic number, because the mean of its divisors is an integer number (210222129).

Almost surely, 2^420444257 is an apocalyptic number.

It is an amenable number.

420444257 is a deficient number, since it is larger than the sum of its proper divisors (1).

420444257 is an equidigital number, since it uses as much as digits as its factorization.

420444257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35840, while the sum is 32.

The square root of 420444257 is about 20504.7374282140. The cubic root of 420444257 is about 749.1511920254.

The spelling of 420444257 in words is "four hundred twenty million, four hundred forty-four thousand, two hundred fifty-seven".