428509305 has 64 divisors (see below), whose sum is σ = 874298880. Its totient is φ = 195063552.

The previous prime is 428509283. The next prime is 428509309. The reversal of 428509305 is 503905824.

It is not a de Polignac number, because 428509305 - 2⁵ = 428509273 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 428509305.

It is not an unprimeable number, because it can be changed into a prime (428509309) 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 63 ways as a sum of consecutive naturals, for example, 260947 + ... + 262583.

It is an arithmetic number, because the mean of its divisors is an integer number (13660920).

Almost surely, 2^428509305 is an apocalyptic number.

428509305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428509305 is an abundant number, since it is smaller than the sum of its proper divisors (445789575).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428509305 is a wasteful number, since it uses less digits than its factorization.

428509305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 428509305 is about 20700.4662990958. The cubic root of 428509305 is about 753.9110098850.

The spelling of 428509305 in words is "four hundred twenty-eight million, five hundred nine thousand, three hundred five".