382396416 has 96 divisors (see below), whose sum is σ = 1030629600. Its totient is φ = 126074880.

The previous prime is 382396409. The next prime is 382396471. The reversal of 382396416 is 614693283.

It is a tau number, because it is divible by the number of its divisors (96).

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 7 ways as a sum of consecutive naturals, for example, 669411 + ... + 669981.

It is an arithmetic number, because the mean of its divisors is an integer number (10735725).

Almost surely, 2^382396416 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 382396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515314800).

382396416 is an abundant number, since it is smaller than the sum of its proper divisors (648233184).

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

382396416 is a wasteful number, since it uses less digits than its factorization.

382396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 685 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 382396416 is about 19554.9588595834. The cubic root of 382396416 is about 725.8350527225.

The spelling of 382396416 in words is "three hundred eighty-two million, three hundred ninety-six thousand, four hundred sixteen".