432306 has 48 divisors (see below), whose sum is σ = 1108224. Its totient is φ = 119232.

The previous prime is 432301. The next prime is 432317. The reversal of 432306 is 603234.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (432301) by changing a digit.

432306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5886 + ... + 5958.

It is an arithmetic number, because the mean of its divisors is an integer number (23088).

2⁴³²³⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 657×658.

It is a practical number, because each smaller number is the sum of distinct divisors of 432306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554112).

432306 is an abundant number, since it is smaller than the sum of its proper divisors (675918).

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

432306 is a wasteful number, since it uses less digits than its factorization.

432306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 432306 is about 657.4998098859. The cubic root of 432306 is about 75.6131076626.

The spelling of 432306 in words is "four hundred thirty-two thousand, three hundred six".