384321000 has 128 divisors (see below), whose sum is σ = 1370453760. Its totient is φ = 87840000.

The previous prime is 384320977. The next prime is 384321019. The reversal of 384321000 is 123483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 11850 + ... + 30150.

It is an arithmetic number, because the mean of its divisors is an integer number (10706670).

Almost surely, 2^384321000 is an apocalyptic number.

384321000 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 384321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685226880).

384321000 is an abundant number, since it is smaller than the sum of its proper divisors (986132760).

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

384321000 is a wasteful number, since it uses less digits than its factorization.

384321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18332 (or 18318 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 384321000 is about 19604.1067126253. The cubic root of 384321000 is about 727.0507139568.

Adding to 384321000 its reverse (123483), we get a palindrome (384444483).

The spelling of 384321000 in words is "three hundred eighty-four million, three hundred twenty-one thousand".