382284576 has 144 divisors (see below), whose sum is σ = 1185216480. Its totient is φ = 119854080.

The previous prime is 382284569. The next prime is 382284589. The reversal of 382284576 is 675482283.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×382284576² = 292282994094999552, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 248931 + ... + 250461.

It is an arithmetic number, because the mean of its divisors is an integer number (8230670).

Almost surely, 2^382284576 is an apocalyptic number.

382284576 is a gapful number since it is divisible by the number (36) 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 382284576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592608240).

382284576 is an abundant number, since it is smaller than the sum of its proper divisors (802931904).

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

382284576 is a wasteful number, since it uses less digits than its factorization.

382284576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1553 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 382284576 is about 19552.0990177525. The cubic root of 382284576 is about 725.7642838343.

The spelling of 382284576 in words is "three hundred eighty-two million, two hundred eighty-four thousand, five hundred seventy-six".