382524480 has 336 divisors, whose sum is σ = 1502779824. Its totient is φ = 88473600.

The previous prime is 382524449. The next prime is 382524481. The reversal of 382524480 is 84425283.

It can be written as a sum of positive squares in 8 ways, for example, as 1806336 + 380718144 = 1344^2 + 19512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (382524481) 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 47 ways as a sum of consecutive naturals, for example, 636180 + ... + 636780.

It is an arithmetic number, because the mean of its divisors is an integer number (4472559).

Almost surely, 2^382524480 is an apocalyptic number.

382524480 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 382524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751389912).

382524480 is an abundant number, since it is smaller than the sum of its proper divisors (1120255344).

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

382524480 is a wasteful number, since it uses less digits than its factorization.

382524480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 382524480 is about 19558.2330490257. The cubic root of 382524480 is about 725.9160707112.

The spelling of 382524480 in words is "three hundred eighty-two million, five hundred twenty-four thousand, four hundred eighty".