428404813 has 2 divisors, whose sum is σ = 428404814. Its totient is φ = 428404812.

The previous prime is 428404783. The next prime is 428404843. The reversal of 428404813 is 318404824.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (428404783) and next prime (428404843).

It can be written as a sum of positive squares in only one way, i.e., 402323364 + 26081449 = 20058^2 + 5107^2 .

It is a cyclic number.

It is not a de Polignac number, because 428404813 - 2¹³ = 428396621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (428404843) 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 as a sum of consecutive naturals, namely, 214202406 + 214202407.

It is an arithmetic number, because the mean of its divisors is an integer number (214202407).

Almost surely, 2^428404813 is an apocalyptic number.

It is an amenable number.

428404813 is a deficient number, since it is larger than the sum of its proper divisors (1).

428404813 is an equidigital number, since it uses as much as digits as its factorization.

428404813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 428404813 is about 20697.9422407156. The cubic root of 428404813 is about 753.8497244998.

The spelling of 428404813 in words is "four hundred twenty-eight million, four hundred four thousand, eight hundred thirteen".