428658301 has 2 divisors, whose sum is σ = 428658302. Its totient is φ = 428658300.

The previous prime is 428658299. The next prime is 428658317. The reversal of 428658301 is 103856824.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245705625 + 182952676 = 15675^2 + 13526^2 .

It is a cyclic number.

It is not a de Polignac number, because 428658301 - 2¹ = 428658299 is a prime.

Together with 428658299, it forms a pair of twin primes.

It is equal to p_22780657 and since 428658301 and 22780657 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (428658361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214329150 + 214329151.

It is an arithmetic number, because the mean of its divisors is an integer number (214329151).

Almost surely, 2^428658301 is an apocalyptic number.

It is an amenable number.

428658301 is a deficient number, since it is larger than the sum of its proper divisors (1).

428658301 is an equidigital number, since it uses as much as digits as its factorization.

428658301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 428658301 is about 20704.0648424410. The cubic root of 428658301 is about 753.9983799893.

The spelling of 428658301 in words is "four hundred twenty-eight million, six hundred fifty-eight thousand, three hundred one".