384233220 has 240 divisors, whose sum is σ = 1423285248. Its totient is φ = 84913920.

The previous prime is 384233207. The next prime is 384233221. The reversal of 384233220 is 22332483.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384233221) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 350994 + ... + 352086.

Almost surely, 2^384233220 is an apocalyptic number.

384233220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384233220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711642624).

384233220 is an abundant number, since it is smaller than the sum of its proper divisors (1039052028).

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

384233220 is a wasteful number, since it uses less digits than its factorization.

384233220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 384233220 is about 19601.8677681490. The cubic root of 384233220 is about 726.9953562643.

The spelling of 384233220 in words is "three hundred eighty-four million, two hundred thirty-three thousand, two hundred twenty".