390666528 has 144 divisors (see below), whose sum is σ = 1344470400. Its totient is φ = 105043968.

The previous prime is 390666517. The next prime is 390666541. The reversal of 390666528 is 825666093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 28573 + ... + 39971.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2^390666528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390666528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672235200).

390666528 is an abundant number, since it is smaller than the sum of its proper divisors (953803872).

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

390666528 is a wasteful number, since it uses less digits than its factorization.

390666528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11439 (or 11428 counting only the distinct ones).

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

The square root of 390666528 is about 19765.2859326649. The cubic root of 390666528 is about 731.0303384051.

The spelling of 390666528 in words is "three hundred ninety million, six hundred sixty-six thousand, five hundred twenty-eight".