384057220 has 48 divisors (see below), whose sum is σ = 855445248. Its totient is φ = 144524160.

The previous prime is 384057211. The next prime is 384057221. The reversal of 384057220 is 22750483.

384057220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (384057221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21217 + ... + 34903.

It is an arithmetic number, because the mean of its divisors is an integer number (17821776).

Almost surely, 2^384057220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384057220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427722624).

384057220 is an abundant number, since it is smaller than the sum of its proper divisors (471388028).

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

384057220 is a wasteful number, since it uses less digits than its factorization.

384057220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13780 (or 13778 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 384057220 is about 19597.3778858295. The cubic root of 384057220 is about 726.8843379927.

The spelling of 384057220 in words is "three hundred eighty-four million, fifty-seven thousand, two hundred twenty".