382566912 has 480 divisors, whose sum is σ = 1410659712. Its totient is φ = 90832896.

The previous prime is 382566911. The next prime is 382566913. The reversal of 382566912 is 219665283.

It is an interprime number because it is at equal distance from previous prime (382566911) and next prime (382566913).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (382566911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16633333 + ... + 16633355.

Almost surely, 2^382566912 is an apocalyptic number.

382566912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382566912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705329856).

382566912 is an abundant number, since it is smaller than the sum of its proper divisors (1028092800).

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

382566912 is a wasteful number, since it uses less digits than its factorization.

382566912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 382566912 is about 19559.3177795137. The cubic root of 382566912 is about 725.9429107641.

The spelling of 382566912 in words is "three hundred eighty-two million, five hundred sixty-six thousand, nine hundred twelve".