390682656 has 192 divisors, whose sum is σ = 1402732800. Its totient is φ = 103016448.

The previous prime is 390682651. The next prime is 390682657. The reversal of 390682656 is 656286093.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (390682651) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 76140 + ... + 81108.

It is an arithmetic number, because the mean of its divisors is an integer number (7305900).

Almost surely, 2^390682656 is an apocalyptic number.

390682656 is a gapful number since it is divisible by the number (36) 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 390682656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701366400).

390682656 is an abundant number, since it is smaller than the sum of its proper divisors (1012050144).

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

390682656 is a wasteful number, since it uses less digits than its factorization.

390682656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 390682656 is about 19765.6939164806. The cubic root of 390682656 is about 731.0403980461.

The spelling of 390682656 in words is "three hundred ninety million, six hundred eighty-two thousand, six hundred fifty-six".