385517041 has 48 divisors (see below), whose sum is σ = 512459136. Its totient is φ = 282322944.

The previous prime is 385517029. The next prime is 385517047. The reversal of 385517041 is 140715583.

It is a happy number.

It is not a de Polignac number, because 385517041 - 2⁹ = 385516529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 385516988 and 385517006.

It is not an unprimeable number, because it can be changed into a prime (385517047) 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 47 ways as a sum of consecutive naturals, for example, 2813925 + ... + 2814061.

It is an arithmetic number, because the mean of its divisors is an integer number (10676232).

Almost surely, 2^385517041 is an apocalyptic number.

It is an amenable number.

385517041 is a deficient number, since it is larger than the sum of its proper divisors (126942095).

385517041 is a wasteful number, since it uses less digits than its factorization.

385517041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 385517041 is about 19634.5878744628. The cubic root of 385517041 is about 727.8041483227.

The spelling of 385517041 in words is "three hundred eighty-five million, five hundred seventeen thousand, forty-one".