385808449 has 12 divisors (see below), whose sum is σ = 418424916. Its totient is φ = 353629152.

The previous prime is 385808441. The next prime is 385808461. The reversal of 385808449 is 944808583.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 351375025 = 5868^2 + 18745^2 .

It is not a de Polignac number, because 385808449 - 2³ = 385808441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (385808441) 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 11 ways as a sum of consecutive naturals, for example, 344839 + ... + 345955.

It is an arithmetic number, because the mean of its divisors is an integer number (34868743).

Almost surely, 2^385808449 is an apocalyptic number.

It is an amenable number.

385808449 is a deficient number, since it is larger than the sum of its proper divisors (32616467).

385808449 is a wasteful number, since it uses less digits than its factorization.

385808449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The square root of 385808449 is about 19642.0072548607. The cubic root of 385808449 is about 727.9874817968.

The spelling of 385808449 in words is "three hundred eighty-five million, eight hundred eight thousand, four hundred forty-nine".