382531840 has 36 divisors (see below), whose sum is σ = 916286364. Its totient is φ = 153012224.

The previous prime is 382531813. The next prime is 382531843. The reversal of 382531840 is 48135283.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 245360896 + 137170944 = 15664^2 + 11712^2 .

It is a super-2 number, since 2×382531840² = 292661217227571200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 382531796 and 382531805.

It is not an unprimeable number, because it can be changed into a prime (382531843) 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 3 ways as a sum of consecutive naturals, for example, 148147 + ... + 150706.

It is an arithmetic number, because the mean of its divisors is an integer number (25452399).

Almost surely, 2^382531840 is an apocalyptic number.

It is an amenable number.

382531840 is an abundant number, since it is smaller than the sum of its proper divisors (533754524).

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

382531840 is an equidigital number, since it uses as much as digits as its factorization.

382531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298874 (or 298860 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 382531840 is about 19558.4212041770. The cubic root of 382531840 is about 725.9207263679.

The spelling of 382531840 in words is "three hundred eighty-two million, five hundred thirty-one thousand, eight hundred forty".