744863328 has 144 divisors (see below), whose sum is σ = 2324754432. Its totient is φ = 224352000.

The previous prime is 744863309. The next prime is 744863341. The reversal of 744863328 is 823368447.

744863328 is a `hidden beast` number, since 7 + 4 + 4 + 8 + 633 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604473 + ... + 605703.

It is an arithmetic number, because the mean of its divisors is an integer number (16144128).

Almost surely, 2^744863328 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 744863328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162377216).

744863328 is an abundant number, since it is smaller than the sum of its proper divisors (1579891104).

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

744863328 is a wasteful number, since it uses less digits than its factorization.

744863328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1438 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 744863328 is about 27292.1843757512. The cubic root of 744863328 is about 906.4813313024.

The spelling of 744863328 in words is "seven hundred forty-four million, eight hundred sixty-three thousand, three hundred twenty-eight".