420566564 has 48 divisors (see below), whose sum is σ = 815645376. Its totient is φ = 188160000.

The previous prime is 420566543. The next prime is 420566567. The reversal of 420566564 is 465665024.

It is not an unprimeable number, because it can be changed into a prime (420566567) 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, 1247804 + ... + 1248140.

It is an arithmetic number, because the mean of its divisors is an integer number (16992612).

Almost surely, 2^420566564 is an apocalyptic number.

420566564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420566564 is a deficient number, since it is larger than the sum of its proper divisors (395078812).

420566564 is a wasteful number, since it uses less digits than its factorization.

420566564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 420566564 is about 20507.7196196944. The cubic root of 420566564 is about 749.2238275374.

The spelling of 420566564 in words is "four hundred twenty million, five hundred sixty-six thousand, five hundred sixty-four".