• 432 can be written using four 4's:

432 has 20 divisors (see below), whose sum is σ = 1240. Its totient is φ = 144.

The previous prime is 431. The next prime is 433. The reversal of 432 is 234.

Added to its reverse (234) it gives a triangular number (666 = T_{36}).

432 = 3^{3} + 4^{3} + ... + 6^{3}.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (3!)^{3} ⋅ 2!.

432 is nontrivially palindromic in base 11.

432 is an esthetic number in base 5 and base 10, because in such bases its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (431) and next prime (433).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between even and odd.

It is one of the 548 Lynch-Bell numbers.

432 is an undulating number in base 11.

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 7 and base 14.

It is a nialpdrome in base 6, base 8, base 9, base 10 and base 12.

It is a zygodrome in base 7.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 432.

It is not an unprimeable number, because it can be changed into a prime (431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143 + 144 + 145.

It is an arithmetic number, because the mean of its divisors is an integer number (62).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620).

432 is an abundant number, since it is smaller than the sum of its proper divisors (808).

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

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

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

The sum of its prime factors is 17 (or 5 counting only the distinct ones).

The product of its digits is 24, while the sum is 9.

The square root of 432 is about 20.7846096908. The cubic root of 432 is about 7.5595262994.

Adding to 432 its reverse (234), we get a palindrome (666).

It can be divided in two parts, 43 and 2, that added together give a triangular number (45 = T_{9}).

The spelling of 432 in words is "four hundred thirty-two", and thus it is an aban number.

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