384830160 has 160 divisors (see below), whose sum is σ = 1401660288. Its totient is φ = 86108160.

The previous prime is 384830143. The next prime is 384830167. The reversal of 384830160 is 61038483.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384830167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28714 + ... + 39926.

Almost surely, 2^384830160 is an apocalyptic number.

384830160 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 384830160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700830144).

384830160 is an abundant number, since it is smaller than the sum of its proper divisors (1016830128).

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

384830160 is a wasteful number, since it uses less digits than its factorization.

384830160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11253 (or 11247 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 384830160 is about 19617.0884689854. The cubic root of 384830160 is about 727.3716451439.

The spelling of 384830160 in words is "three hundred eighty-four million, eight hundred thirty thousand, one hundred sixty".