428801 has 2 divisors, whose sum is σ = 428802. Its totient is φ = 428800.

The previous prime is 428797. The next prime is 428807. The reversal of 428801 is 108824.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 361201 + 67600 = 601^2 + 260^2 .

It is a cyclic number.

It is not a de Polignac number, because 428801 - 2² = 428797 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (428807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214400 + 214401.

It is an arithmetic number, because the mean of its divisors is an integer number (214401).

2⁴²⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

428801 is a deficient number, since it is larger than the sum of its proper divisors (1).

428801 is an equidigital number, since it uses as much as digits as its factorization.

428801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 428801 is about 654.8289853084. The cubic root of 428801 is about 75.4082038603.

Adding to 428801 its sum of digits (23), we get a palindrome (428824).

The spelling of 428801 in words is "four hundred twenty-eight thousand, eight hundred one".