420175 has 18 divisors (see below), whose sum is σ = 607848. Its totient is φ = 288120.

The previous prime is 420163. The next prime is 420191. The reversal of 420175 is 571024.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 420175 - 2⁷ = 420047 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 60022 + ... + 60028.

420175 is a Friedman number, since it can be written as 7^5*(4+1+0)^2, using all its digits and the basic arithmetic operations.

2⁴²⁰¹⁷⁵ is an apocalyptic number.

420175 is a deficient number, since it is larger than the sum of its proper divisors (187673).

420175 is an frugal number, since it uses more digits than its factorization.

420175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 420175 is about 648.2090712108. The cubic root of 420175 is about 74.8991236396.

Multiplying 420175 by its product of nonzero digits (280), we get a cube (117649000 = 490³).

Adding to 420175 its reverse (571024), we get a palindrome (991199).

It can be divided in two parts, 420 and 175, that added together give a palindrome (595).

The spelling of 420175 in words is "four hundred twenty thousand, one hundred seventy-five".