404296320649 has 27 divisors (see below), whose sum is σ = 445872072213. Its totient is φ = 366428690784.

The previous prime is 404296320643. The next prime is 404296320667. The reversal of 404296320649 is 946023692404.

The square root of 404296320649 is 635843.

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

It can be written as a sum of positive squares in 4 ways, for example, as 38716465225 + 365579855424 = 196765^2 + 604632^2 .

It is not a de Polignac number, because 404296320649 - 2¹⁵ = 404296287881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404296320643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 487691167 + ... + 487691995.

Almost surely, 2^404296320649 is an apocalyptic number.

404296320649 is the 635843-rd square number.

404296320649 is the 317922-nd centered octagonal number.

It is an amenable number.

404296320649 is a deficient number, since it is larger than the sum of its proper divisors (41575751564).

404296320649 is an frugal number, since it uses more digits than its factorization.

404296320649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 49.

Multiplying 404296320649 by its sum of digits (49), we get a square (19810519711801 = 4450901²).

The spelling of 404296320649 in words is "four hundred four billion, two hundred ninety-six million, three hundred twenty thousand, six hundred forty-nine".