4000509 has 24 divisors (see below), whose sum is σ = 6088992. Its totient is φ = 2624400.

The previous prime is 4000489. The next prime is 4000511. The reversal of 4000509 is 9050004.

4000509 = T₁₃₅ + T₁₃₆ + ... + T₂₉₇.

It is not a de Polignac number, because 4000509 - 2¹¹ = 3998461 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4000491 and 4000500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24462 + ... + 24624.

It is an arithmetic number, because the mean of its divisors is an integer number (253708).

Almost surely, 2^4000509 is an apocalyptic number.

It is an amenable number.

4000509 is a deficient number, since it is larger than the sum of its proper divisors (2088483).

4000509 is a wasteful number, since it uses less digits than its factorization.

4000509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 4000509 is about 2000.1272459521. The cubic root of 4000509 is about 158.7468381374.

The spelling of 4000509 in words is "four million, five hundred nine", and thus it is an aban number.