384750960 has 120 divisors (see below), whose sum is σ = 1311114000. Its totient is φ = 93265920.

The previous prime is 384750959. The next prime is 384750991. The reversal of 384750960 is 69057483.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22416 + ... + 35664.

It is an arithmetic number, because the mean of its divisors is an integer number (10925950).

Almost surely, 2^384750960 is an apocalyptic number.

384750960 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 384750960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655557000).

384750960 is an abundant number, since it is smaller than the sum of its proper divisors (926363040).

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

384750960 is a wasteful number, since it uses less digits than its factorization.

384750960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13287 (or 13270 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 384750960 is about 19615.0697169294. The cubic root of 384750960 is about 727.3217427949.

The spelling of 384750960 in words is "three hundred eighty-four million, seven hundred fifty thousand, nine hundred sixty".