420075 has 18 divisors (see below), whose sum is σ = 752804. Its totient is φ = 223920.

The previous prime is 420073. The next prime is 420097. The reversal of 420075 is 570024.

It is a happy number.

It is not a de Polignac number, because 420075 - 2¹ = 420073 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420075.

It is not an unprimeable number, because it can be changed into a prime (420073) 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 17 ways as a sum of consecutive naturals, for example, 709 + ... + 1158.

2⁴²⁰⁰⁷⁵ is an apocalyptic number.

420075 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

420075 is a deficient number, since it is larger than the sum of its proper divisors (332729).

420075 is a wasteful number, since it uses less digits than its factorization.

420075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 420075 is about 648.1319310140. The cubic root of 420075 is about 74.8931812690.

Adding to 420075 its reverse (570024), we get a palindrome (990099).

The spelling of 420075 in words is "four hundred twenty thousand, seventy-five".