432612 has 36 divisors (see below), whose sum is σ = 1117116. Its totient is φ = 141120.

The previous prime is 432589. The next prime is 432613. The reversal of 432612 is 216234.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 224676 + 207936 = 474^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (432613) by changing a digit.

432612 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 11 ways as a sum of consecutive naturals, for example, 2098 + ... + 2294.

It is an arithmetic number, because the mean of its divisors is an integer number (31031).

2⁴³²⁶¹² 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 432612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558558).

432612 is an abundant number, since it is smaller than the sum of its proper divisors (684504).

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

432612 is a wasteful number, since it uses less digits than its factorization.

432612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 432612 is about 657.7324684095. The cubic root of 432612 is about 75.6309439128.

Adding to 432612 its reverse (216234), we get a palindrome (648846).

The spelling of 432612 in words is "four hundred thirty-two thousand, six hundred twelve".