420189 has 32 divisors (see below), whose sum is σ = 746496. Its totient is φ = 203520.

The previous prime is 420163. The next prime is 420191. The reversal of 420189 is 981024.

It is not a de Polignac number, because 420189 - 2⁸ = 419933 is a prime.

420189 is a modest number, since divided by 189 gives 42 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420189.

It is not an unprimeable number, because it can be changed into a prime (420149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3874 + ... + 3980.

It is an arithmetic number, because the mean of its divisors is an integer number (23328).

2⁴²⁰¹⁸⁹ is an apocalyptic number.

It is an amenable number.

420189 is a deficient number, since it is larger than the sum of its proper divisors (326307).

420189 is a wasteful number, since it uses less digits than its factorization.

420189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 420189 is about 648.2198701058. The cubic root of 420189 is about 74.8999554962.

The spelling of 420189 in words is "four hundred twenty thousand, one hundred eighty-nine".