384320160 has 384 divisors, whose sum is σ = 1567641600. Its totient is φ = 86123520.

The previous prime is 384320149. The next prime is 384320171. The reversal of 384320160 is 61023483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (384320149) and next prime (384320171).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2146951 + ... + 2147129.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2^384320160 is an apocalyptic number.

384320160 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 384320160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783820800).

384320160 is an abundant number, since it is smaller than the sum of its proper divisors (1183321440).

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

384320160 is a wasteful number, since it uses less digits than its factorization.

384320160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 384320160 is about 19604.0852885311. The cubic root of 384320160 is about 727.0501842580.

The spelling of 384320160 in words is "three hundred eighty-four million, three hundred twenty thousand, one hundred sixty".