384500 has 24 divisors (see below), whose sum is σ = 840840. Its totient is φ = 153600.

The previous prime is 384497. The next prime is 384509. The reversal of 384500 is 5483.

384500 = T₃₅₅ + T₃₅₆ + ... + T₃₆₀.

It can be written as a sum of positive squares in 4 ways, for example, as 26896 + 357604 = 164^2 + 598^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384509) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 116 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (35035).

2³⁸⁴⁵⁰⁰ 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 384500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420420).

384500 is an abundant number, since it is smaller than the sum of its proper divisors (456340).

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

384500 is a wasteful number, since it uses less digits than its factorization.

384500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 384500 is about 620.0806399171. The cubic root of 384500 is about 72.7163572633.

Adding to 384500 its reverse (5483), we get a palindrome (389983).

The spelling of 384500 in words is "three hundred eighty-four thousand, five hundred".