744289920 has 384 divisors, whose sum is σ = 2972998080. Its totient is φ = 169574400.

The previous prime is 744289873. The next prime is 744289921. The reversal of 744289920 is 29982447.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (744289921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1076775 + ... + 1077465.

Almost surely, 2^744289920 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 744289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486499040).

744289920 is an abundant number, since it is smaller than the sum of its proper divisors (2228708160).

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

744289920 is a wasteful number, since it uses less digits than its factorization.

744289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 744289920 is about 27281.6773677866. The cubic root of 744289920 is about 906.2486635256.

It can be divided in two parts, 74428 and 9920, that added together give a palindrome (84348).

The spelling of 744289920 in words is "seven hundred forty-four million, two hundred eighty-nine thousand, nine hundred twenty".