420217690564 has 81 divisors (see below), whose sum is σ = 903206750733. Its totient is φ = 170544691296.

The previous prime is 420217690559. The next prime is 420217690609. The reversal of 420217690564 is 465096712024.

The square root of 420217690564 is 648242.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 395754228100 + 24463462464 = 629090^2 + 156408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 172431154 + ... + 172433590.

Almost surely, 2^420217690564 is an apocalyptic number.

420217690564 is the 648242-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420217690564

420217690564 is an abundant number, since it is smaller than the sum of its proper divisors (482989060169).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420217690564 is an equidigital number, since it uses as much as digits as its factorization.

420217690564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 420217690564 in words is "four hundred twenty billion, two hundred seventeen million, six hundred ninety thousand, five hundred sixty-four".