382906624 has 27 divisors (see below), whose sum is σ = 764942983. Its totient is φ = 191296768.

The previous prime is 382906583. The next prime is 382906631. The reversal of 382906624 is 426609283.

The square root of 382906624 is 19568.

It is a perfect power (a square), and thus also a powerful number.

382906624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 312477 + ... + 313699.

Almost surely, 2^382906624 is an apocalyptic number.

382906624 is the 19568-th square number.

It is an amenable number.

382906624 is a deficient number, since it is larger than the sum of its proper divisors (382036359).

382906624 is an frugal number, since it uses more digits than its factorization.

382906624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The cubic root of 382906624 is about 726.1577216037.

The spelling of 382906624 in words is "three hundred eighty-two million, nine hundred six thousand, six hundred twenty-four".