432744 has 64 divisors (see below), whose sum is σ = 1243200. Its totient is φ = 124416.

The previous prime is 432743. The next prime is 432749. The reversal of 432744 is 447234.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 432744.

It is not an unprimeable number, because it can be changed into a prime (432743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5892 + ... + 5964.

It is an arithmetic number, because the mean of its divisors is an integer number (19425).

2⁴³²⁷⁴⁴ 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 432744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621600).

432744 is an abundant number, since it is smaller than the sum of its proper divisors (810456).

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

432744 is a wasteful number, since it uses less digits than its factorization.

432744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 110 counting only the distinct ones).

The product of its digits is 2688, while the sum is 24.

The square root of 432744 is about 657.8328055061. The cubic root of 432744 is about 75.6386353849.

Adding to 432744 its reverse (447234), we get a palindrome (879978).

It can be divided in two parts, 4327 and 44, that added together give a triangular number (4371 = T₉₃).

The spelling of 432744 in words is "four hundred thirty-two thousand, seven hundred forty-four".