386004609 has 45 divisors (see below), whose sum is σ = 602844627. Its totient is φ = 246137616.

The previous prime is 386004583. The next prime is 386004611. The reversal of 386004609 is 906400683.

The square root of 386004609 is 19647.

It is a perfect power (a square), and thus also a powerful number.

386004609 is a `hidden beast` number, since 3 + 8 + 600 + 46 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 345402225 + 40602384 = 18585^2 + 6372^2 .

It is not a de Polignac number, because 386004609 - 2¹³ = 385996417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (386004109) 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 44 ways as a sum of consecutive naturals, for example, 6542422 + ... + 6542480.

Almost surely, 2^386004609 is an apocalyptic number.

386004609 is the 19647-th square number.

386004609 is the 9824-th centered octagonal number.

It is an amenable number.

386004609 is a deficient number, since it is larger than the sum of its proper divisors (216840018).

386004609 is an frugal number, since it uses more digits than its factorization.

386004609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The cubic root of 386004609 is about 728.1108399292.

Multiplying 386004609 by its sum of digits (36), we get a square (13896165924 = 117882²).

The spelling of 386004609 in words is "three hundred eighty-six million, four thousand, six hundred nine".