384430080 has 104 divisors (see below), whose sum is σ = 1230222672. Its totient is φ = 102498304.

The previous prime is 384430051. The next prime is 384430087. The reversal of 384430080 is 80034483.

384430080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384430087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58312 + ... + 64568.

Almost surely, 2^384430080 is an apocalyptic number.

384430080 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 384430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615111336).

384430080 is an abundant number, since it is smaller than the sum of its proper divisors (845792592).

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

384430080 is an equidigital number, since it uses as much as digits as its factorization.

384430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6289 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 384430080 is about 19606.8885853926. Note that the first 3 decimals coincide. The cubic root of 384430080 is about 727.1194925645.

The spelling of 384430080 in words is "three hundred eighty-four million, four hundred thirty thousand, eighty".