384428160 has 128 divisors (see below), whose sum is σ = 1361577600. Its totient is φ = 102509568.

The previous prime is 384428153. The next prime is 384428167. The reversal of 384428160 is 61824483.

It is an interprime number because it is at equal distance from previous prime (384428153) and next prime (384428167).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (384428167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6157 + ... + 28403.

It is an arithmetic number, because the mean of its divisors is an integer number (10637325).

Almost surely, 2^384428160 is an apocalyptic number.

384428160 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 384428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680788800).

384428160 is an abundant number, since it is smaller than the sum of its proper divisors (977149440).

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

384428160 is a wasteful number, since it uses less digits than its factorization.

384428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22275 (or 22257 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 384428160 is about 19606.8396229479. The cubic root of 384428160 is about 727.1182820525.

The spelling of 384428160 in words is "three hundred eighty-four million, four hundred twenty-eight thousand, one hundred sixty".