420585164 has 24 divisors (see below), whose sum is σ = 745718400. Its totient is φ = 207532160.

The previous prime is 420585163. The next prime is 420585211. The reversal of 420585164 is 461585024.

It is not an unprimeable number, because it can be changed into a prime (420585161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291557 + ... + 292995.

It is an arithmetic number, because the mean of its divisors is an integer number (31071600).

Almost surely, 2^420585164 is an apocalyptic number.

It is an amenable number.

420585164 is a deficient number, since it is larger than the sum of its proper divisors (325133236).

420585164 is a wasteful number, since it uses less digits than its factorization.

420585164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 420585164 is about 20508.1731024487. The cubic root of 420585164 is about 749.2348724459.

The spelling of 420585164 in words is "four hundred twenty million, five hundred eighty-five thousand, one hundred sixty-four".