395654784 has 256 divisors, whose sum is σ = 1295155200. Its totient is φ = 104509440.

The previous prime is 395654783. The next prime is 395654807. The reversal of 395654784 is 487456593.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (395654783) 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 31 ways as a sum of consecutive naturals, for example, 3115329 + ... + 3115455.

It is an arithmetic number, because the mean of its divisors is an integer number (5059200).

Almost surely, 2^395654784 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 395654784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647577600).

395654784 is an abundant number, since it is smaller than the sum of its proper divisors (899500416).

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

395654784 is a wasteful number, since it uses less digits than its factorization.

395654784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The square root of 395654784 is about 19891.0729725674. The cubic root of 395654784 is about 734.1285947530.

The spelling of 395654784 in words is "three hundred ninety-five million, six hundred fifty-four thousand, seven hundred eighty-four".