384858201 has 48 divisors (see below), whose sum is σ = 660335424. Its totient is φ = 197479296.

The previous prime is 384858197. The next prime is 384858259. The reversal of 384858201 is 102858483.

It is not a de Polignac number, because 384858201 - 2² = 384858197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 384858201.

It is not an unprimeable number, because it can be changed into a prime (384858401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67986 + ... + 73428.

It is an arithmetic number, because the mean of its divisors is an integer number (13756988).

Almost surely, 2^384858201 is an apocalyptic number.

It is an amenable number.

384858201 is a deficient number, since it is larger than the sum of its proper divisors (275477223).

384858201 is a wasteful number, since it uses less digits than its factorization.

384858201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 384858201 is about 19617.8031644728. The cubic root of 384858201 is about 727.3893115805.

The spelling of 384858201 in words is "three hundred eighty-four million, eight hundred fifty-eight thousand, two hundred one".