382284560 has 240 divisors, whose sum is σ = 1124785152. Its totient is φ = 118195200.

The previous prime is 382284523. The next prime is 382284569. The reversal of 382284560 is 65482283.

It is a super-2 number, since 2×382284560² = 292282969628787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (382284569) 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, 6266930 + ... + 6266990.

Almost surely, 2^382284560 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 382284560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562392576).

382284560 is an abundant number, since it is smaller than the sum of its proper divisors (742500592).

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

382284560 is a wasteful number, since it uses less digits than its factorization.

382284560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 382284560 is about 19552.0986085893. The cubic root of 382284560 is about 725.7642737091.

The spelling of 382284560 in words is "three hundred eighty-two million, two hundred eighty-four thousand, five hundred sixty".