428467221 has 54 divisors (see below), whose sum is σ = 779717250. Its totient is φ = 225965376.

The previous prime is 428467189. The next prime is 428467223. The reversal of 428467221 is 122764824.

428467221 is a `hidden beast` number, since 428 + 4 + 6 + 7 + 221 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 43758225 + 384708996 = 6615^2 + 19614^2 .

It is not a de Polignac number, because 428467221 - 2⁵ = 428467189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428467223) 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 53 ways as a sum of consecutive naturals, for example, 71655 + ... + 77403.

Almost surely, 2^428467221 is an apocalyptic number.

It is an amenable number.

428467221 is a deficient number, since it is larger than the sum of its proper divisors (351250029).

428467221 is a wasteful number, since it uses less digits than its factorization.

428467221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795 (or 5772 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 428467221 is about 20699.4497752960. The cubic root of 428467221 is about 753.8863284843.

The spelling of 428467221 in words is "four hundred twenty-eight million, four hundred sixty-seven thousand, two hundred twenty-one".