744432 has 40 divisors (see below), whose sum is σ = 2072784. Its totient is φ = 228864.

The previous prime is 744431. The next prime is 744451. The reversal of 744432 is 234447.

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

It is a nialpdrome in base 10.

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 744432.

It is not an unprimeable number, because it can be changed into a prime (744431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 1220.

2⁷⁴⁴⁴³² 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 744432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036392).

744432 is an abundant number, since it is smaller than the sum of its proper divisors (1328352).

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

744432 is a wasteful number, since it uses less digits than its factorization.

744432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1211 counting only the distinct ones).

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

The square root of 744432 is about 862.8047287770. The cubic root of 744432 is about 90.6306325473.

Adding to 744432 its reverse (234447), we get a palindrome (978879).

It can be divided in two parts, 744 and 432, that added together give a triangular number (1176 = T₄₈).

The spelling of 744432 in words is "seven hundred forty-four thousand, four hundred thirty-two".