420128 has 24 divisors (see below), whose sum is σ = 871920. Its totient is φ = 198720.

The previous prime is 420103. The next prime is 420149. The reversal of 420128 is 821024.

It is an unprimeable number.

420128 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 in 3 ways as a sum of consecutive naturals, for example, 263 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (36330).

2⁴²⁰¹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435960).

420128 is an abundant number, since it is smaller than the sum of its proper divisors (451792).

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

420128 is a wasteful number, since it uses less digits than its factorization.

420128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 420128 is about 648.1728164618. The cubic root of 420128 is about 74.8963308428.

The spelling of 420128 in words is "four hundred twenty thousand, one hundred twenty-eight".