385413347 has 24 divisors (see below), whose sum is σ = 450323712. Its totient is φ = 327020400.

The previous prime is 385413319. The next prime is 385413367. The reversal of 385413347 is 743314583.

It is not a de Polignac number, because 385413347 - 2¹⁸ = 385151203 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 385413347.

It is not an unprimeable number, because it can be changed into a prime (385413367) 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, 281258 + ... + 282624.

It is an arithmetic number, because the mean of its divisors is an integer number (18763488).

Almost surely, 2^385413347 is an apocalyptic number.

385413347 is a deficient number, since it is larger than the sum of its proper divisors (64910365).

385413347 is a wasteful number, since it uses less digits than its factorization.

385413347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1468 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 385413347 is about 19631.9471015995. The cubic root of 385413347 is about 727.7388890451.

The spelling of 385413347 in words is "three hundred eighty-five million, four hundred thirteen thousand, three hundred forty-seven".