382148200 has 96 divisors (see below), whose sum is σ = 1027166400. Its totient is φ = 129507840.

The previous prime is 382148189. The next prime is 382148203. The reversal of 382148200 is 2841283.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (382148203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123067 + ... + 126133.

It is an arithmetic number, because the mean of its divisors is an integer number (10699650).

Almost surely, 2^382148200 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 382148200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513583200).

382148200 is an abundant number, since it is smaller than the sum of its proper divisors (645018200).

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

382148200 is a wasteful number, since it uses less digits than its factorization.

382148200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 382148200 is about 19548.6112038682. The cubic root of 382148200 is about 725.6779706459.

Adding to 382148200 its reverse (2841283), we get a palindrome (384989483).

The spelling of 382148200 in words is "three hundred eighty-two million, one hundred forty-eight thousand, two hundred".