382400 has 42 divisors (see below), whose sum is σ = 944880. Its totient is φ = 152320.

The previous prime is 382391. The next prime is 382427. The reversal of 382400 is 4283.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 382400.

It is an unprimeable number.

382400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1481 + ... + 1719.

2³⁸²⁴⁰⁰ 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 382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472440).

382400 is an abundant number, since it is smaller than the sum of its proper divisors (562480).

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

382400 is a wasteful number, since it uses less digits than its factorization.

382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 382400 is about 618.3849933496. The cubic root of 382400 is about 72.5837320339.

Adding to 382400 its reverse (4283), we get a palindrome (386683).

The spelling of 382400 in words is "three hundred eighty-two thousand, four hundred".