432512 has 32 divisors (see below), whose sum is σ = 897600. Its totient is φ = 207360.

The previous prime is 432511. The next prime is 432527. The reversal of 432512 is 215234.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 432512.

It is not an unprimeable number, because it can be changed into a prime (432511) 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, 3914 + ... + 4022.

It is an arithmetic number, because the mean of its divisors is an integer number (28050).

2⁴³²⁵¹² 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 432512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448800).

432512 is an abundant number, since it is smaller than the sum of its proper divisors (465088).

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

432512 is a wasteful number, since it uses less digits than its factorization.

432512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its digits is 240, while the sum is 17.

The square root of 432512 is about 657.6564452661. The cubic root of 432512 is about 75.6251159983.

Adding to 432512 its reverse (215234), we get a palindrome (647746).

The spelling of 432512 in words is "four hundred thirty-two thousand, five hundred twelve".