382815840 has 96 divisors (see below), whose sum is σ = 1315512576. Its totient is φ = 92802560.

The previous prime is 382815827. The next prime is 382815859. The reversal of 382815840 is 48518283.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30972 + ... + 41531.

It is an arithmetic number, because the mean of its divisors is an integer number (13703256).

Almost surely, 2^382815840 is an apocalyptic number.

382815840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382815840 is an abundant number, since it is smaller than the sum of its proper divisors (932696736).

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

382815840 is a wasteful number, since it uses less digits than its factorization.

382815840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72532 (or 72524 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 382815840 is about 19565.6801568461. The cubic root of 382815840 is about 726.1003284003.

The spelling of 382815840 in words is "three hundred eighty-two million, eight hundred fifteen thousand, eight hundred forty".