409321341 has 72 divisors (see below), whose sum is σ = 724727640. Its totient is φ = 220872960.

The previous prime is 409321337. The next prime is 409321361. The reversal of 409321341 is 143123904.

409321341 is a `hidden beast` number, since 409 + 3 + 213 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65367225 + 343954116 = 8085^2 + 18546^2 .

It is not a de Polignac number, because 409321341 - 2² = 409321337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409321301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 410055 + ... + 411051.

Almost surely, 2^409321341 is an apocalyptic number.

It is an amenable number.

409321341 is a deficient number, since it is larger than the sum of its proper divisors (315406299).

409321341 is a wasteful number, since it uses less digits than its factorization.

409321341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 409321341 is about 20231.6915012067. The cubic root of 409321341 is about 742.4857610438.

The spelling of 409321341 in words is "four hundred nine million, three hundred twenty-one thousand, three hundred forty-one".