744305040 has 120 divisors (see below), whose sum is σ = 2580334848. Its totient is φ = 192072960.

The previous prime is 744304997. The next prime is 744305053. The reversal of 744305040 is 40503447.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 744304995 and 744305013.

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 23 ways as a sum of consecutive naturals, for example, 5647 + ... + 38993.

Almost surely, 2^744305040 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 744305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290167424).

744305040 is an abundant number, since it is smaller than the sum of its proper divisors (1836029808).

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

744305040 is a wasteful number, since it uses less digits than its factorization.

744305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33397 (or 33388 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 744305040 is about 27281.9544754404. The cubic root of 744305040 is about 906.2548001965.

Adding to 744305040 its reverse (40503447), we get a palindrome (784808487).

The spelling of 744305040 in words is "seven hundred forty-four million, three hundred five thousand, forty".