382814616 has 64 divisors (see below), whose sum is σ = 994809600. Its totient is φ = 122611328.

The previous prime is 382814611. The next prime is 382814633. The reversal of 382814616 is 616418283.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382814611) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 156781 + ... + 159203.

It is an arithmetic number, because the mean of its divisors is an integer number (15543900).

Almost surely, 2^382814616 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 382814616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497404800).

382814616 is an abundant number, since it is smaller than the sum of its proper divisors (611994984).

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

382814616 is a wasteful number, since it uses less digits than its factorization.

382814616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2684 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 382814616 is about 19565.6488775609. The cubic root of 382814616 is about 726.0995545314.

The spelling of 382814616 in words is "three hundred eighty-two million, eight hundred fourteen thousand, six hundred sixteen".