385666584 has 64 divisors (see below), whose sum is σ = 1003415040. Its totient is φ = 123427200.

The previous prime is 385666571. The next prime is 385666591. The reversal of 385666584 is 485666583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56559 + ... + 63009.

It is an arithmetic number, because the mean of its divisors is an integer number (15678360).

Almost surely, 2^385666584 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 385666584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501707520).

385666584 is an abundant number, since it is smaller than the sum of its proper divisors (617748456).

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

385666584 is a wasteful number, since it uses less digits than its factorization.

385666584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6560 (or 6556 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The square root of 385666584 is about 19638.3956574869. The cubic root of 385666584 is about 727.8982418251.

Subtracting 385666584 from its reverse (485666583), we obtain a palindrome (99999999).

It can be divided in two parts, 38566 and 6584, that added together give a triangular number (45150 = T₃₀₀).

The spelling of 385666584 in words is "three hundred eighty-five million, six hundred sixty-six thousand, five hundred eighty-four".