382551104 has 84 divisors (see below), whose sum is σ = 831934836. Its totient is φ = 174440448.

The previous prime is 382551097. The next prime is 382551107. The reversal of 382551104 is 401155283.

It can be written as a sum of positive squares in 6 ways, for example, as 294191104 + 88360000 = 17152^2 + 9400^2 .

It is not an unprimeable number, because it can be changed into a prime (382551107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1222052 + ... + 1222364.

Almost surely, 2^382551104 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 382551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415967418).

382551104 is an abundant number, since it is smaller than the sum of its proper divisors (449383732).

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

382551104 is a wasteful number, since it uses less digits than its factorization.

382551104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 382551104 is about 19558.9136712651. The cubic root of 382551104 is about 725.9329117607.

The spelling of 382551104 in words is "three hundred eighty-two million, five hundred fifty-one thousand, one hundred four".