384546168 has 96 divisors (see below), whose sum is σ = 1100595600. Its totient is φ = 120960000.

The previous prime is 384546139. The next prime is 384546179. The reversal of 384546168 is 861645483.

384546168 is a `hidden beast` number, since 38 + 454 + 6 + 168 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 548218 + ... + 548918.

Almost surely, 2^384546168 is an apocalyptic number.

384546168 is a gapful number since it is divisible by the number (38) 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 384546168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550297800).

384546168 is an abundant number, since it is smaller than the sum of its proper divisors (716049432).

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

384546168 is a wasteful number, since it uses less digits than its factorization.

384546168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1126 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 384546168 is about 19609.8487500541. The cubic root of 384546168 is about 727.1926756625.

The spelling of 384546168 in words is "three hundred eighty-four million, five hundred forty-six thousand, one hundred sixty-eight".