420477967 has 24 divisors (see below), whose sum is σ = 528876096. Its totient is φ = 331345728.

The previous prime is 420477943. The next prime is 420477971. The reversal of 420477967 is 769774024.

It is not a de Polignac number, because 420477967 - 2¹¹ = 420475919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420477067) 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 in 23 ways as a sum of consecutive naturals, for example, 175258 + ... + 177640.

It is an arithmetic number, because the mean of its divisors is an integer number (22036504).

Almost surely, 2^420477967 is an apocalyptic number.

420477967 is a deficient number, since it is larger than the sum of its proper divisors (108398129).

420477967 is a wasteful number, since it uses less digits than its factorization.

420477967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 46.

The square root of 420477967 is about 20505.5594168996. The cubic root of 420477967 is about 749.1712130796.

The spelling of 420477967 in words is "four hundred twenty million, four hundred seventy-seven thousand, nine hundred sixty-seven".