384168960 has 352 divisors, whose sum is σ = 1564235520. Its totient is φ = 87588864.

The previous prime is 384168947. The next prime is 384168979. The reversal of 384168960 is 69861483.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 967482 + ... + 967878.

Almost surely, 2^384168960 is an apocalyptic number.

384168960 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 384168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782117760).

384168960 is an abundant number, since it is smaller than the sum of its proper divisors (1180066560).

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

384168960 is a wasteful number, since it uses less digits than its factorization.

384168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 384168960 is about 19600.2285700958. The cubic root of 384168960 is about 726.9548259095.

The spelling of 384168960 in words is "three hundred eighty-four million, one hundred sixty-eight thousand, nine hundred sixty".