428394401 has 2 divisors, whose sum is σ = 428394402. Its totient is φ = 428394400.

The previous prime is 428394383. The next prime is 428394403. The reversal of 428394401 is 104493824.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 425349376 + 3045025 = 20624^2 + 1745^2 .

It is a cyclic number.

It is not a de Polignac number, because 428394401 - 2²⁶ = 361285537 is a prime.

Together with 428394403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (428394403) 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, 214197200 + 214197201.

It is an arithmetic number, because the mean of its divisors is an integer number (214197201).

Almost surely, 2^428394401 is an apocalyptic number.

It is an amenable number.

428394401 is a deficient number, since it is larger than the sum of its proper divisors (1).

428394401 is an equidigital number, since it uses as much as digits as its factorization.

428394401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 428394401 is about 20697.6907165993. The cubic root of 428394401 is about 753.8436172335.

The spelling of 428394401 in words is "four hundred twenty-eight million, three hundred ninety-four thousand, four hundred one".