384144201 has 40 divisors (see below), whose sum is σ = 660369600. Its totient is φ = 217989792.

The previous prime is 384144197. The next prime is 384144217. The reversal of 384144201 is 102441483.

It is not a de Polignac number, because 384144201 - 2² = 384144197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (384164201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82210 + ... + 86756.

It is an arithmetic number, because the mean of its divisors is an integer number (16509240).

Almost surely, 2^384144201 is an apocalyptic number.

It is an amenable number.

384144201 is a deficient number, since it is larger than the sum of its proper divisors (276225399).

384144201 is a wasteful number, since it uses less digits than its factorization.

384144201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 384144201 is about 19599.5969601418. The cubic root of 384144201 is about 726.9392085960.

Adding to 384144201 its reverse (102441483), we get a palindrome (486585684).

The spelling of 384144201 in words is "three hundred eighty-four million, one hundred forty-four thousand, two hundred one".