382444816 has 40 divisors (see below), whose sum is σ = 803870424. Its totient is φ = 175211520.

The previous prime is 382444793. The next prime is 382444823. The reversal of 382444816 is 618444283.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 92083216 + 290361600 = 9596^2 + 17040^2 .

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 7 ways as a sum of consecutive naturals, for example, 21786 + ... + 35206.

Almost surely, 2^382444816 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 382444816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401935212).

382444816 is an abundant number, since it is smaller than the sum of its proper divisors (421425608).

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

382444816 is a wasteful number, since it uses less digits than its factorization.

382444816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13579 (or 13573 counting only the distinct ones).

The product of its digits is 147456, while the sum is 40.

The square root of 382444816 is about 19556.1963581879. The cubic root of 382444816 is about 725.8656744657.

The spelling of 382444816 in words is "three hundred eighty-two million, four hundred forty-four thousand, eight hundred sixteen".