444792429 has 24 divisors (see below), whose sum is σ = 661795992. Its totient is φ = 287660160.

The previous prime is 444792409. The next prime is 444792457. The reversal of 444792429 is 924297444.

It can be written as a sum of positive squares in 4 ways, for example, as 258469929 + 186322500 = 16077^2 + 13650^2 .

It is a de Polignac number, because none of the positive numbers 2^k-444792429 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444792409) 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 23 ways as a sum of consecutive naturals, for example, 122419 + ... + 125999.

It is an arithmetic number, because the mean of its divisors is an integer number (27574833).

Almost surely, 2^444792429 is an apocalyptic number.

It is an amenable number.

444792429 is a deficient number, since it is larger than the sum of its proper divisors (217003563).

444792429 is a wasteful number, since it uses less digits than its factorization.

444792429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3997 (or 3994 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 444792429 is about 21090.1026313292. The cubic root of 444792429 is about 763.3419478485.

The spelling of 444792429 in words is "four hundred forty-four million, seven hundred ninety-two thousand, four hundred twenty-nine".