420561567 has 24 divisors (see below), whose sum is σ = 634233600. Its totient is φ = 268204608.

The previous prime is 420561551. The next prime is 420561577. The reversal of 420561567 is 765165024.

It is a happy number.

420561567 is a `hidden beast` number, since 42 + 0 + 56 + 1 + 567 = 666.

It is not a de Polignac number, because 420561567 - 2⁴ = 420561551 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420561577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21058 + ... + 35840.

It is an arithmetic number, because the mean of its divisors is an integer number (26426400).

Almost surely, 2^420561567 is an apocalyptic number.

420561567 is a deficient number, since it is larger than the sum of its proper divisors (213672033).

420561567 is a wasteful number, since it uses less digits than its factorization.

420561567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14927 (or 14924 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 420561567 is about 20507.5977871617. The cubic root of 420561567 is about 749.2208602019.

The spelling of 420561567 in words is "four hundred twenty million, five hundred sixty-one thousand, five hundred sixty-seven".