744649440 has 96 divisors (see below), whose sum is σ = 2374033536. Its totient is φ = 196170240.

The previous prime is 744649429. The next prime is 744649459. The reversal of 744649440 is 44946447.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 744649392 and 744649401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30495 + ... + 49185.

It is an arithmetic number, because the mean of its divisors is an integer number (24729516).

Almost surely, 2^744649440 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 744649440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187016768).

744649440 is an abundant number, since it is smaller than the sum of its proper divisors (1629384096).

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

744649440 is a wasteful number, since it uses less digits than its factorization.

744649440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18792 (or 18784 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 744649440 is about 27288.2656099650. The cubic root of 744649440 is about 906.3945574237.

The spelling of 744649440 in words is "seven hundred forty-four million, six hundred forty-nine thousand, four hundred forty".