744480000 has 540 divisors, whose sum is σ = 2988393408. Its totient is φ = 176640000.

The previous prime is 744479993. The next prime is 744480041. The reversal of 744480000 is 84447.

744480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15839977 + ... + 15840023.

Almost surely, 2^744480000 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 744480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494196704).

744480000 is an abundant number, since it is smaller than the sum of its proper divisors (2243913408).

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

744480000 is a wasteful number, since it uses less digits than its factorization.

744480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 68 counting only the distinct ones).

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

The square root of 744480000 is about 27285.1608021650. The cubic root of 744480000 is about 906.3258042021.

The spelling of 744480000 in words is "seven hundred forty-four million, four hundred eighty thousand".