744456960 has 288 divisors, whose sum is σ = 2846719680. Its totient is φ = 183140352.

The previous prime is 744456959. The next prime is 744456989. The reversal of 744456960 is 69654447.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 448452 + ... + 450108.

Almost surely, 2^744456960 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 744456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423359840).

744456960 is an abundant number, since it is smaller than the sum of its proper divisors (2102262720).

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

744456960 is a wasteful number, since it uses less digits than its factorization.

744456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 744456960 is about 27284.7385913811. The cubic root of 744456960 is about 906.3164545164.

The spelling of 744456960 in words is "seven hundred forty-four million, four hundred fifty-six thousand, nine hundred sixty".