744849 has 24 divisors (see below), whose sum is σ = 1285920. Its totient is φ = 424872.

The previous prime is 744833. The next prime is 744859. The reversal of 744849 is 948447.

744849 = 53² + 54² + ... + 133².

It is not a de Polignac number, because 744849 - 2⁴ = 744833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (744829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1042 + ... + 1604.

It is an arithmetic number, because the mean of its divisors is an integer number (53580).

2⁷⁴⁴⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

744849 is a deficient number, since it is larger than the sum of its proper divisors (541071).

744849 is a wasteful number, since it uses less digits than its factorization.

744849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 573 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 744849 is about 863.0463486974. The cubic root of 744849 is about 90.6475518984.

The spelling of 744849 in words is "seven hundred forty-four thousand, eight hundred forty-nine".