409601009 has 8 divisors (see below), whose sum is σ = 436094568. Its totient is φ = 383374080.

The previous prime is 409600999. The next prime is 409601011. The reversal of 409601009 is 900106904.

It can be written as a sum of positive squares in 4 ways, for example, as 429025 + 409171984 = 655^2 + 20228^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 409601009 - 2¹⁶ = 409535473 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (409601039) 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 7 ways as a sum of consecutive naturals, for example, 63482 + ... + 69635.

It is an arithmetic number, because the mean of its divisors is an integer number (54511821).

Almost surely, 2^409601009 is an apocalyptic number.

It is an amenable number.

409601009 is a deficient number, since it is larger than the sum of its proper divisors (26493559).

409601009 is a wasteful number, since it uses less digits than its factorization.

409601009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133315.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 409601009 is about 20238.6019527041. The cubic root of 409601009 is about 742.6548231905.

The spelling of 409601009 in words is "four hundred nine million, six hundred one thousand, nine".