382463616 has 192 divisors, whose sum is σ = 1119225600. Its totient is φ = 115568640.

The previous prime is 382463533. The next prime is 382463651. The reversal of 382463616 is 616364283.

382463616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

Its product of digits (124416) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4297300 + ... + 4297388.

It is an arithmetic number, because the mean of its divisors is an integer number (5829300).

Almost surely, 2^382463616 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 382463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559612800).

382463616 is an abundant number, since it is smaller than the sum of its proper divisors (736761984).

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

382463616 is a wasteful number, since it uses less digits than its factorization.

382463616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 144 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 382463616 is about 19556.6770183485. The cubic root of 382463616 is about 725.8775681651.

The spelling of 382463616 in words is "three hundred eighty-two million, four hundred sixty-three thousand, six hundred sixteen".