390663648 has 120 divisors (see below), whose sum is σ = 1199067408. Its totient is φ = 124540416.

The previous prime is 390663641. The next prime is 390663677. The reversal of 390663648 is 846366093.

390663648 is a `hidden beast` number, since 3 + 9 + 0 + 6 + 636 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390663641) 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 19 ways as a sum of consecutive naturals, for example, 56340 + ... + 62892.

Almost surely, 2^390663648 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 390663648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599533704).

390663648 is an abundant number, since it is smaller than the sum of its proper divisors (808403760).

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

390663648 is a wasteful number, since it uses less digits than its factorization.

390663648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 390663648 is about 19765.2130775259. The cubic root of 390663648 is about 731.0285420115.

The spelling of 390663648 in words is "three hundred ninety million, six hundred sixty-three thousand, six hundred forty-eight".