384205050 has 144 divisors (see below), whose sum is σ = 1088100000. Its totient is φ = 97050240.

The previous prime is 384205033. The next prime is 384205051. The reversal of 384205050 is 50502483.

It is a super-2 number, since 2×384205050² = 295227040891005000, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (384205051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 769701 + ... + 770199.

It is an arithmetic number, because the mean of its divisors is an integer number (7556250).

Almost surely, 2^384205050 is an apocalyptic number.

384205050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 384205050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544050000).

384205050 is an abundant number, since it is smaller than the sum of its proper divisors (703894950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

384205050 is a wasteful number, since it uses less digits than its factorization.

384205050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 384205050 is about 19601.1492010035. The cubic root of 384205050 is about 726.9775893121.

The spelling of 384205050 in words is "three hundred eighty-four million, two hundred five thousand, fifty".