390555648 has 192 divisors, whose sum is σ = 1323504000. Its totient is φ = 111476736.

The previous prime is 390555629. The next prime is 390555653. The reversal of 390555648 is 846555093.

390555648 is a `hidden beast` number, since 3 + 90 + 5 + 556 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 386568 + ... + 387576.

It is an arithmetic number, because the mean of its divisors is an integer number (6893250).

Almost surely, 2^390555648 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 390555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661752000).

390555648 is an abundant number, since it is smaller than the sum of its proper divisors (932948352).

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

390555648 is a wasteful number, since it uses less digits than its factorization.

390555648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 390555648 is about 19762.4808159300. The cubic root of 390555648 is about 730.9611708774.

The spelling of 390555648 in words is "three hundred ninety million, five hundred fifty-five thousand, six hundred forty-eight".