432225 has 36 divisors (see below), whose sum is σ = 826956. Its totient is φ = 215040.

The previous prime is 432203. The next prime is 432227. The reversal of 432225 is 522234.

It can be written as a sum of positive squares in 6 ways, for example, as 42849 + 389376 = 207^2 + 624^2 .

It is not a de Polignac number, because 432225 - 2⁶ = 432161 is a prime.

432225 is a lucky number.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 432198 and 432207.

It is not an unprimeable number, because it can be changed into a prime (432227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3769 + ... + 3881.

It is an arithmetic number, because the mean of its divisors is an integer number (22971).

2⁴³²²²⁵ is an apocalyptic number.

432225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

432225 is a deficient number, since it is larger than the sum of its proper divisors (394731).

432225 is a wasteful number, since it uses less digits than its factorization.

432225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 432225 is about 657.4382100243. The cubic root of 432225 is about 75.6083848935.

Adding to 432225 its reverse (522234), we get a palindrome (954459).

Subtracting 432225 from its reverse (522234), we obtain a palindrome (90009).

The spelling of 432225 in words is "four hundred thirty-two thousand, two hundred twenty-five".