744382240 has 192 divisors, whose sum is σ = 2090188800. Its totient is φ = 245246976.

The previous prime is 744382211. The next prime is 744382271. The reversal of 744382240 is 42283447.

744382240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 744382196 and 744382205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4158471 + ... + 4158649.

It is an arithmetic number, because the mean of its divisors is an integer number (10886400).

Almost surely, 2^744382240 is an apocalyptic number.

744382240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 744382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045094400).

744382240 is an abundant number, since it is smaller than the sum of its proper divisors (1345806560).

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

744382240 is a wasteful number, since it uses less digits than its factorization.

744382240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The square root of 744382240 is about 27283.3692933992. The cubic root of 744382240 is about 906.2861316391.

The spelling of 744382240 in words is "seven hundred forty-four million, three hundred eighty-two thousand, two hundred forty".