420928 has 14 divisors (see below), whose sum is σ = 835406. Its totient is φ = 210432.

The previous prime is 420919. The next prime is 420929. The reversal of 420928 is 829024.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 1024 = 648^2 + 32^2 .

It is not an unprimeable number, because it can be changed into a prime (420929) by changing a digit.

420928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 3225 + ... + 3352.

2⁴²⁰⁹²⁸ is an apocalyptic number.

It is an amenable number.

420928 is a deficient number, since it is larger than the sum of its proper divisors (414478).

420928 is an equidigital number, since it uses as much as digits as its factorization.

420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6589 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 420928 is about 648.7896423341. The cubic root of 420928 is about 74.9438394385.

Subtracting from 420928 its sum of digits (25), we obtain a triangular number (420903 = T₉₁₇).

The spelling of 420928 in words is "four hundred twenty thousand, nine hundred twenty-eight".