382986000 has 120 divisors (see below), whose sum is σ = 1337705304. Its totient is φ = 102124800.

The previous prime is 382985963. The next prime is 382986007. The reversal of 382986000 is 689283.

It can be written as a sum of positive squares in 4 ways, for example, as 86044176 + 296941824 = 9276^2 + 17232^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (382986007) 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, 7362 + ... + 28638.

Almost surely, 2^382986000 is an apocalyptic number.

382986000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382986000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668852652).

382986000 is an abundant number, since it is smaller than the sum of its proper divisors (954719304).

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

382986000 is a wasteful number, since it uses less digits than its factorization.

382986000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21306 (or 21287 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 382986000 is about 19570.0281042210. The cubic root of 382986000 is about 726.2078952921.

The spelling of 382986000 in words is "three hundred eighty-two million, nine hundred eighty-six thousand".