744288480 has 384 divisors, whose sum is σ = 2908483200. Its totient is φ = 176504832.

The previous prime is 744288437. The next prime is 744288497. The reversal of 744288480 is 84882447.

It is a happy number.

744288480 is a `hidden beast` number, since 74 + 428 + 84 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1628412 + ... + 1628868.

It is an arithmetic number, because the mean of its divisors is an integer number (7574175).

Almost surely, 2^744288480 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 744288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454241600).

744288480 is an abundant number, since it is smaller than the sum of its proper divisors (2164194720).

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

744288480 is a wasteful number, since it uses less digits than its factorization.

744288480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 744288480 is about 27281.6509764347. The cubic root of 744288480 is about 906.2480790764.

The spelling of 744288480 in words is "seven hundred forty-four million, two hundred eighty-eight thousand, four hundred eighty".