432896 has 36 divisors (see below), whose sum is σ = 919800. Its totient is φ = 202752.

The previous prime is 432893. The next prime is 432907. The reversal of 432896 is 698234.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (432893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4820 + ... + 4908.

It is an arithmetic number, because the mean of its divisors is an integer number (25550).

2⁴³²⁸⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459900).

432896 is an abundant number, since it is smaller than the sum of its proper divisors (486904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

432896 is an equidigital number, since it uses as much as digits as its factorization.

432896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 432896 is about 657.9483262385. The cubic root of 432896 is about 75.6474902943.

The spelling of 432896 in words is "four hundred thirty-two thousand, eight hundred ninety-six".