432576 has 42 divisors (see below), whose sum is σ = 1241552. Its totient is φ = 144000.

The previous prime is 432569. The next prime is 432577. The reversal of 432576 is 675234.

It is a happy number.

432576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×432576³ = 242833453334396928, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432577) by changing a digit.

432576 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 5 ways as a sum of consecutive naturals, for example, 201 + ... + 951.

2⁴³²⁵⁷⁶ 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 432576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620776).

432576 is an abundant number, since it is smaller than the sum of its proper divisors (808976).

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

432576 is a wasteful number, since it uses less digits than its factorization.

432576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 756 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 432576 is about 657.7051010901. The cubic root of 432576 is about 75.6288459670.

It can be divided in two parts, 432 and 576, that multiplied together give a 5-th power (248832 = 12⁵).

The spelling of 432576 in words is "four hundred thirty-two thousand, five hundred seventy-six".