382116504 has 192 divisors, whose sum is σ = 1227916800. Its totient is φ = 97977600.

The previous prime is 382116487. The next prime is 382116547. The reversal of 382116504 is 405611283.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1409889 + ... + 1410159.

It is an arithmetic number, because the mean of its divisors is an integer number (6395400).

Almost surely, 2^382116504 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 382116504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613958400).

382116504 is an abundant number, since it is smaller than the sum of its proper divisors (845800296).

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

382116504 is a wasteful number, since it uses less digits than its factorization.

382116504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 382116504 is about 19547.8004900807. The cubic root of 382116504 is about 725.6579071165.

Adding to 382116504 its reverse (405611283), we get a palindrome (787727787).

It can be divided in two parts, 382 and 116504, that added together give a triangular number (116886 = T₄₈₃).

The spelling of 382116504 in words is "three hundred eighty-two million, one hundred sixteen thousand, five hundred four".