420456167 has 2 divisors, whose sum is σ = 420456168. Its totient is φ = 420456166.

The previous prime is 420456161. The next prime is 420456199. The reversal of 420456167 is 761654024.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 420456167 - 2¹⁴ = 420439783 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420456161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210228083 + 210228084.

It is an arithmetic number, because the mean of its divisors is an integer number (210228084).

Almost surely, 2^420456167 is an apocalyptic number.

420456167 is a deficient number, since it is larger than the sum of its proper divisors (1).

420456167 is an equidigital number, since it uses as much as digits as its factorization.

420456167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 420456167 is about 20505.0278468477. The cubic root of 420456167 is about 749.1582657387.

The spelling of 420456167 in words is "four hundred twenty million, four hundred fifty-six thousand, one hundred sixty-seven".