384146000 has 160 divisors (see below), whose sum is σ = 1108643328. Its totient is φ = 125875200.

The previous prime is 384145999. The next prime is 384146011. The reversal of 384146000 is 641483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321404 + ... + 322596.

Almost surely, 2^384146000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554321664).

384146000 is an abundant number, since it is smaller than the sum of its proper divisors (724497328).

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

384146000 is a wasteful number, since it uses less digits than its factorization.

384146000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 384146000 is about 19599.6428538889. The cubic root of 384146000 is about 726.9403433796.

Adding to 384146000 its reverse (641483), we get a palindrome (384787483).

The spelling of 384146000 in words is "three hundred eighty-four million, one hundred forty-six thousand".