744800480 has 48 divisors (see below), whose sum is σ = 1767044160. Its totient is φ = 296658432.

The previous prime is 744800473. The next prime is 744800501. The reversal of 744800480 is 84008447.

It is a self number, because there is not a number n which added to its sum of digits gives 744800480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28502 + ... + 47978.

It is an arithmetic number, because the mean of its divisors is an integer number (36813420).

Almost surely, 2^744800480 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 744800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883522080).

744800480 is an abundant number, since it is smaller than the sum of its proper divisors (1022243680).

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

744800480 is a wasteful number, since it uses less digits than its factorization.

744800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19731 (or 19723 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 744800480 is about 27291.0329595638. The cubic root of 744800480 is about 906.4558357343.

The spelling of 744800480 in words is "seven hundred forty-four million, eight hundred thousand, four hundred eighty".