432016225 has 9 divisors (see below), whose sum is σ = 535829017. Its totient is φ = 345529840.

The previous prime is 432016187. The next prime is 432016237. The reversal of 432016225 is 522610234.

The square root of 432016225 is 20785.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14876449 + 417139776 = 3857^2 + 20424^2 .

It is not a de Polignac number, because 432016225 - 2²¹ = 429919073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 432016225.

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 8 ways as a sum of consecutive naturals, for example, 101847 + ... + 106003.

Almost surely, 2^432016225 is an apocalyptic number.

432016225 is the 20785-th square number.

432016225 is the 10393-rd centered octagonal number.

It is an amenable number.

432016225 is a deficient number, since it is larger than the sum of its proper divisors (103812792).

432016225 is an frugal number, since it uses more digits than its factorization.

432016225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The cubic root of 432016225 is about 755.9620938087.

Multiplying 432016225 by its sum of digits (25), we get a square (10800405625 = 103925²).

432016225 divided by its sum of digits (25) gives a square (17280649 = 4157²).

Adding to 432016225 its reverse (522610234), we get a palindrome (954626459).

The spelling of 432016225 in words is "four hundred thirty-two million, sixteen thousand, two hundred twenty-five".