382838500 has 96 divisors (see below), whose sum is σ = 932166144. Its totient is φ = 136160000.

The previous prime is 382838479. The next prime is 382838509. The reversal of 382838500 is 5838283.

382838500 = 2831² + 2832² + ... + 2877².

It is a happy number.

382838500 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 382838500.

It is not an unprimeable number, because it can be changed into a prime (382838509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257760 + ... + 259240.

It is an arithmetic number, because the mean of its divisors is an integer number (9710064).

Almost surely, 2^382838500 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 382838500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466083072).

382838500 is an abundant number, since it is smaller than the sum of its proper divisors (549327644).

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

382838500 is a wasteful number, since it uses less digits than its factorization.

382838500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 382838500 is about 19566.2592234694. The cubic root of 382838500 is about 726.1146547918.

The spelling of 382838500 in words is "three hundred eighty-two million, eight hundred thirty-eight thousand, five hundred".