432825 has 24 divisors (see below), whose sum is σ = 744000. Its totient is φ = 221760.

The previous prime is 432799. The next prime is 432833. The reversal of 432825 is 528234.

It is not a de Polignac number, because 432825 - 2⁵ = 432793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 432795 and 432804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 432825.

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 23 ways as a sum of consecutive naturals, for example, 2076 + ... + 2274.

It is an arithmetic number, because the mean of its divisors is an integer number (31000).

2⁴³²⁸²⁵ is an apocalyptic number.

It is an amenable number.

432825 is a deficient number, since it is larger than the sum of its proper divisors (311175).

432825 is a wasteful number, since it uses less digits than its factorization.

432825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 236 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 432825 is about 657.8943684209. The cubic root of 432825 is about 75.6433543775.

The spelling of 432825 in words is "four hundred thirty-two thousand, eight hundred twenty-five".