382086800 has 30 divisors (see below), whose sum is σ = 917964498. Its totient is φ = 152834560.

The previous prime is 382086799. The next prime is 382086821. The reversal of 382086800 is 8680283.

It can be written as a sum of positive squares in 3 ways, for example, as 80856064 + 301230736 = 8992^2 + 17356^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 477209 + ... + 478008.

Almost surely, 2^382086800 is an apocalyptic number.

It is an amenable number.

382086800 is an abundant number, since it is smaller than the sum of its proper divisors (535877698).

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

382086800 is a wasteful number, since it uses less digits than its factorization.

382086800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955235 (or 955224 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 382086800 is about 19547.0406967397. The cubic root of 382086800 is about 725.6391035136.

The spelling of 382086800 in words is "three hundred eighty-two million, eighty-six thousand, eight hundred".