744480 has 144 divisors (see below), whose sum is σ = 2830464. Its totient is φ = 176640.

The previous prime is 744451. The next prime is 744493. The reversal of 744480 is 84447.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

744480 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 23 ways as a sum of consecutive naturals, for example, 15817 + ... + 15863.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2⁷⁴⁴⁴⁸⁰ 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 744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232).

744480 is an abundant number, since it is smaller than the sum of its proper divisors (2085984).

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

744480 is a wasteful number, since it uses less digits than its factorization.

744480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 744480 is about 862.8325445879. The cubic root of 744480 is about 90.6325804202.

It can be divided in two parts, 74 and 4480, that added together give a palindrome (4554).

The spelling of 744480 in words is "seven hundred forty-four thousand, four hundred eighty".