409061567 has 8 divisors (see below), whose sum is σ = 412275072. Its totient is φ = 405855000.

The previous prime is 409061563. The next prime is 409061581. The reversal of 409061567 is 765160904.

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 409061567 - 2² = 409061563 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 409061567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409061561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218168 + ... + 220034.

It is an arithmetic number, because the mean of its divisors is an integer number (51534384).

Almost surely, 2^409061567 is an apocalyptic number.

409061567 is a deficient number, since it is larger than the sum of its proper divisors (3213505).

409061567 is a wasteful number, since it uses less digits than its factorization.

409061567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 409061567 is about 20225.2705049895. The cubic root of 409061567 is about 742.3286560228.

The spelling of 409061567 in words is "four hundred nine million, sixty-one thousand, five hundred sixty-seven".