744309 has 14 divisors (see below), whose sum is σ = 1117046. Its totient is φ = 495720.

The previous prime is 744301. The next prime is 744313. The reversal of 744309 is 903447.

It can be written as a sum of positive squares in only one way, i.e., 656100 + 88209 = 810^2 + 297^2 .

It is not a de Polignac number, because 744309 - 2³ = 744301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744301) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 219 + ... + 1239.

It is an arithmetic number, because the mean of its divisors is an integer number (79789).

2⁷⁴⁴³⁰⁹ is an apocalyptic number.

It is an amenable number.

744309 is a deficient number, since it is larger than the sum of its proper divisors (372737).

744309 is an equidigital number, since it uses as much as digits as its factorization.

744309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 744309 is about 862.7334466682. The cubic root of 744309 is about 90.6256407406.

The spelling of 744309 in words is "seven hundred forty-four thousand, three hundred nine".