420356167 has 16 divisors (see below), whose sum is σ = 529977600. Its totient is φ = 323864640.

The previous prime is 420356143. The next prime is 420356207. The reversal of 420356167 is 761653024.

It is a happy number.

It is not a de Polignac number, because 420356167 - 2¹⁹ = 419831879 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420356117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23817 + ... + 37522.

It is an arithmetic number, because the mean of its divisors is an integer number (33123600).

Almost surely, 2^420356167 is an apocalyptic number.

420356167 is a deficient number, since it is larger than the sum of its proper divisors (109621433).

420356167 is a wasteful number, since it uses less digits than its factorization.

420356167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61446.

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 420356167 is about 20502.5892755037. The cubic root of 420356167 is about 749.0988685312.

The spelling of 420356167 in words is "four hundred twenty million, three hundred fifty-six thousand, one hundred sixty-seven".