382829800 has 96 divisors (see below), whose sum is σ = 952003800. Its totient is φ = 142663680.

The previous prime is 382829773. The next prime is 382829801. The reversal of 382829800 is 8928283.

It can be written as a sum of positive squares in 12 ways, for example, as 196616484 + 186213316 = 14022^2 + 13646^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (382829801) 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 23 ways as a sum of consecutive naturals, for example, 370084 + ... + 371116.

Almost surely, 2^382829800 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 382829800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476001900).

382829800 is an abundant number, since it is smaller than the sum of its proper divisors (569174000).

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

382829800 is a wasteful number, since it uses less digits than its factorization.

382829800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 382829800 is about 19566.0369007114. The cubic root of 382829800 is about 726.1091544347.

The spelling of 382829800 in words is "three hundred eighty-two million, eight hundred twenty-nine thousand, eight hundred".