4676409 has 12 divisors (see below), whose sum is σ = 6787300. Its totient is φ = 3102624.

The previous prime is 4676407. The next prime is 4676417. The reversal of 4676409 is 9046764.

4676409 is a `hidden beast` number, since 4 + 6 + 7 + 640 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2205225 + 2471184 = 1485^2 + 1572^2 .

It is not a de Polignac number, because 4676409 - 2¹ = 4676407 is a prime.

It is a super-2 number, since 2×4676409² = 43737602270562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4676407) 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 11 ways as a sum of consecutive naturals, for example, 927 + ... + 3195.

Almost surely, 2^4676409 is an apocalyptic number.

It is an amenable number.

4676409 is a deficient number, since it is larger than the sum of its proper divisors (2110891).

4676409 is a wasteful number, since it uses less digits than its factorization.

4676409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4676409 is about 2162.5006358381. The cubic root of 4676409 is about 167.2261389542.

The spelling of 4676409 in words is "four million, six hundred seventy-six thousand, four hundred nine".