409186561 has 16 divisors (see below), whose sum is σ = 477232128. Its totient is φ = 343602000.

The previous prime is 409186541. The next prime is 409186637. The reversal of 409186561 is 165681904.

It is not a de Polignac number, because 409186561 - 2⁹ = 409186049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409186541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78486 + ... + 83536.

It is an arithmetic number, because the mean of its divisors is an integer number (29827008).

Almost surely, 2^409186561 is an apocalyptic number.

It is an amenable number.

409186561 is a deficient number, since it is larger than the sum of its proper divisors (68045567).

409186561 is a wasteful number, since it uses less digits than its factorization.

409186561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292.

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 409186561 is about 20228.3603141728. The cubic root of 409186561 is about 742.4042576652.

The spelling of 409186561 in words is "four hundred nine million, one hundred eighty-six thousand, five hundred sixty-one".