384114960 has 120 divisors (see below), whose sum is σ = 1337831040. Its totient is φ = 102425472.

The previous prime is 384114931. The next prime is 384114967. The reversal of 384114960 is 69411483.

It is a tau number, because it is divible by the number of its divisors (120).

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 (384114967) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9561 + ... + 29319.

It is an arithmetic number, because the mean of its divisors is an integer number (11148592).

Almost surely, 2^384114960 is an apocalyptic number.

384114960 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 384114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668915520).

384114960 is an abundant number, since it is smaller than the sum of its proper divisors (953716080).

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

384114960 is a wasteful number, since it uses less digits than its factorization.

384114960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19787 (or 19769 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 384114960 is about 19598.8509867288. The cubic root of 384114960 is about 726.9207632928.

The spelling of 384114960 in words is "three hundred eighty-four million, one hundred fourteen thousand, nine hundred sixty".