382522440 has 256 divisors, whose sum is σ = 1306368000. Its totient is φ = 89026560.

The previous prime is 382522403. The next prime is 382522447. The reversal of 382522440 is 44225283.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 382522398 and 382522407.

It is not an unprimeable number, because it can be changed into a prime (382522447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2751891 + ... + 2752029.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000).

Almost surely, 2^382522440 is an apocalyptic number.

382522440 is a gapful number since it is divisible by the number (30) 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 382522440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184000).

382522440 is an abundant number, since it is smaller than the sum of its proper divisors (923845560).

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

382522440 is a wasteful number, since it uses less digits than its factorization.

382522440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 382522440 is about 19558.1808970057. The cubic root of 382522440 is about 725.9147802740.

The spelling of 382522440 in words is "three hundred eighty-two million, five hundred twenty-two thousand, four hundred forty".