382984900 has 81 divisors (see below), whose sum is σ = 885718701. Its totient is φ = 143722080.

The previous prime is 382984897. The next prime is 382984913. The reversal of 382984900 is 9489283.

It is a happy number.

The square root of 382984900 is 19570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 137874564 + 245110336 = 11742^2 + 15656^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3718249 + ... + 3718351.

Almost surely, 2^382984900 is an apocalyptic number.

382984900 is the 19570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382984900

382984900 is an abundant number, since it is smaller than the sum of its proper divisors (502733801).

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

382984900 is a wasteful number, since it uses less digits than its factorization.

382984900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The cubic root of 382984900 is about 726.2072000278.

The spelling of 382984900 in words is "three hundred eighty-two million, nine hundred eighty-four thousand, nine hundred".