420224211 has 24 divisors (see below), whose sum is σ = 678328560. Its totient is φ = 248467200.

The previous prime is 420224183. The next prime is 420224213. The reversal of 420224211 is 112422024.

420224211 is a `hidden beast` number, since 420 + 2 + 242 + 1 + 1 = 666.

It is not a de Polignac number, because 420224211 - 2⁵ = 420224179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420224213) 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, 47706 + ... + 55823.

It is an arithmetic number, because the mean of its divisors is an integer number (28263690).

Almost surely, 2^420224211 is an apocalyptic number.

420224211 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

420224211 is a deficient number, since it is larger than the sum of its proper divisors (258104349).

420224211 is a wasteful number, since it uses less digits than its factorization.

420224211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103587 (or 103584 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 420224211 is about 20499.3709903499. The cubic root of 420224211 is about 749.0204759337.

Adding to 420224211 its reverse (112422024), we get a palindrome (532646235).

The spelling of 420224211 in words is "four hundred twenty million, two hundred twenty-four thousand, two hundred eleven".