420225 has 24 divisors (see below), whose sum is σ = 749952. Its totient is φ = 206400.

The previous prime is 420221. The next prime is 420241. The reversal of 420225 is 522024.

It is not a de Polignac number, because 420225 - 2² = 420221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

420225 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (420221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁴²⁰²²⁵ is an apocalyptic number.

It is an amenable number.

420225 is a deficient number, since it is larger than the sum of its proper divisors (329727).

420225 is a wasteful number, since it uses less digits than its factorization.

420225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 420225 is about 648.2476378669. The cubic root of 420225 is about 74.9020944713.

Adding to 420225 its reverse (522024), we get a palindrome (942249).

The spelling of 420225 in words is "four hundred twenty thousand, two hundred twenty-five".