409400441 has 2 divisors, whose sum is σ = 409400442. Its totient is φ = 409400440.

The previous prime is 409400419. The next prime is 409400447. The reversal of 409400441 is 144004904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 399160441 + 10240000 = 19979^2 + 3200^2 .

It is a cyclic number.

It is not a de Polignac number, because 409400441 - 2¹⁸ = 409138297 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 409400441.

It is not a weakly prime, because it can be changed into another prime (409400447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204700220 + 204700221.

It is an arithmetic number, because the mean of its divisors is an integer number (204700221).

Almost surely, 2^409400441 is an apocalyptic number.

It is an amenable number.

409400441 is a deficient number, since it is larger than the sum of its proper divisors (1).

409400441 is an equidigital number, since it uses as much as digits as its factorization.

409400441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 409400441 is about 20233.6462606224. The cubic root of 409400441 is about 742.5335856053.

The spelling of 409400441 in words is "four hundred nine million, four hundred thousand, four hundred forty-one".