420566272 has 72 divisors (see below), whose sum is σ = 985502336. Its totient is φ = 175343616.

The previous prime is 420566239. The next prime is 420566297. The reversal of 420566272 is 272665024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63133 + ... + 69475.

Almost surely, 2^420566272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492751168).

420566272 is an abundant number, since it is smaller than the sum of its proper divisors (564936064).

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

420566272 is an equidigital number, since it uses as much as digits as its factorization.

420566272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6403 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 420566272 is about 20507.7125004229. The cubic root of 420566272 is about 749.2236541416.

The spelling of 420566272 in words is "four hundred twenty million, five hundred sixty-six thousand, two hundred seventy-two".