384205941 has 24 divisors (see below), whose sum is σ = 635244480. Its totient is φ = 219200256.

The previous prime is 384205901. The next prime is 384205963. The reversal of 384205941 is 149502483.

It is not a de Polignac number, because 384205941 - 2⁷ = 384205813 is a prime.

It is a super-2 number, since 2×384205941² = 295228410199390962, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 384205896 and 384205905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384205901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38565 + ... + 47493.

It is an arithmetic number, because the mean of its divisors is an integer number (26468520).

Almost surely, 2^384205941 is an apocalyptic number.

It is an amenable number.

384205941 is a deficient number, since it is larger than the sum of its proper divisors (251038539).

384205941 is a wasteful number, since it uses less digits than its factorization.

384205941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9625 (or 9622 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 384205941 is about 19601.1719292495. The cubic root of 384205941 is about 726.9781512833.

The spelling of 384205941 in words is "three hundred eighty-four million, two hundred five thousand, nine hundred forty-one".