384400 has 45 divisors (see below), whose sum is σ = 954273. Its totient is φ = 148800.

The previous prime is 384383. The next prime is 384403. The reversal of 384400 is 4483.

The square root of 384400 is 620.

It is a perfect power (a square), and thus also a powerful number.

384400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 138384 + 246016 = 372^2 + 496^2 .

It is not an unprimeable number, because it can be changed into a prime (384403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12385 + ... + 12415.

2³⁸⁴⁴⁰⁰ is an apocalyptic number.

384400 is the 620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384400

384400 is an abundant number, since it is smaller than the sum of its proper divisors (569873).

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

384400 is a wasteful number, since it uses less digits than its factorization.

384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The cubic root of 384400 is about 72.7100527412.

Adding to 384400 its reverse (4483), we get a palindrome (388883).

It can be divided in two parts, 384 and 400, that added together give a square (784 = 28²).

The spelling of 384400 in words is "three hundred eighty-four thousand, four hundred".