744907849 has 15 divisors (see below), whose sum is σ = 870570407. Its totient is φ = 637346136.

The previous prime is 744907847. The next prime is 744907871. The reversal of 744907849 is 948709447.

The square root of 744907849 is 27293.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 65367225 + 679540624 = 8085^2 + 26068^2 .

It is not a de Polignac number, because 744907849 - 2¹ = 744907847 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 744907796 and 744907805.

It is not an unprimeable number, because it can be changed into a prime (744907843) 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 14 ways as a sum of consecutive naturals, for example, 1337079 + ... + 1337635.

Almost surely, 2^744907849 is an apocalyptic number.

744907849 is the 27293-rd square number.

744907849 is the 13647-th centered octagonal number.

It is an amenable number.

744907849 is a deficient number, since it is larger than the sum of its proper divisors (125662558).

744907849 is an frugal number, since it uses more digits than its factorization.

744907849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The cubic root of 744907849 is about 906.4993912828.

The spelling of 744907849 in words is "seven hundred forty-four million, nine hundred seven thousand, eight hundred forty-nine".