386984304 has 240 divisors, whose sum is σ = 1310749440. Its totient is φ = 108241920.

The previous prime is 386984303. The next prime is 386984327. The reversal of 386984304 is 403489683.

It is a self number, because there is not a number n which added to its sum of digits gives 386984304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386984303) 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 47 ways as a sum of consecutive naturals, for example, 1605624 + ... + 1605864.

It is an arithmetic number, because the mean of its divisors is an integer number (5461456).

Almost surely, 2^386984304 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 386984304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655374720).

386984304 is an abundant number, since it is smaller than the sum of its proper divisors (923765136).

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

386984304 is a wasteful number, since it uses less digits than its factorization.

386984304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 386984304 is about 19671.9166326009. The cubic root of 386984304 is about 728.7263109180.

The spelling of 386984304 in words is "three hundred eighty-six million, nine hundred eighty-four thousand, three hundred four".