382124304 has 105 divisors (see below), whose sum is σ = 1116207669. Its totient is φ = 126671040.

The previous prime is 382124299. The next prime is 382124311. The reversal of 382124304 is 403421283.

The square root of 382124304 is 19548.

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., 4210704 + 377913600 = 2052^2 + 19440^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2111094 + ... + 2111274.

Almost surely, 2^382124304 is an apocalyptic number.

382124304 is the 19548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382124304

382124304 is an abundant number, since it is smaller than the sum of its proper divisors (734083365).

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

382124304 is an frugal number, since it uses more digits than its factorization.

382124304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The cubic root of 382124304 is about 725.6628446099.

Adding to 382124304 its reverse (403421283), we get a palindrome (785545587).

The spelling of 382124304 in words is "three hundred eighty-two million, one hundred twenty-four thousand, three hundred four".