409442981 has 2 divisors, whose sum is σ = 409442982. Its totient is φ = 409442980.

The previous prime is 409442939. The next prime is 409443031. The reversal of 409442981 is 189244904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260822500 + 148620481 = 16150^2 + 12191^2 .

It is a cyclic number.

It is not a de Polignac number, because 409442981 - 2¹⁴ = 409426597 is a prime.

It is a super-3 number, since 3×409442981³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409442921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204721490 + 204721491.

It is an arithmetic number, because the mean of its divisors is an integer number (204721491).

Almost surely, 2^409442981 is an apocalyptic number.

It is an amenable number.

409442981 is a deficient number, since it is larger than the sum of its proper divisors (1).

409442981 is an equidigital number, since it uses as much as digits as its factorization.

409442981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 409442981 is about 20234.6974526431. The cubic root of 409442981 is about 742.5593031193.

The spelling of 409442981 in words is "four hundred nine million, four hundred forty-two thousand, nine hundred eighty-one".