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409440541 is a prime number
BaseRepresentation
bin11000011001111…
…001000100011101
31001112102201211111
4120121321010131
51314304044131
6104343422021
713101121126
oct3031710435
91045381744
10409440541
111a0133814
12b5154911
1366a98613
143c54104d
1525e2aab1
hex1867911d

409440541 has 2 divisors, whose sum is σ = 409440542. Its totient is φ = 409440540.

The previous prime is 409440533. The next prime is 409440587. The reversal of 409440541 is 145044904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 301716900 + 107723641 = 17370^2 + 10379^2 .

It is a cyclic number.

It is not a de Polignac number, because 409440541 - 23 = 409440533 is a prime.

It is a super-2 number, since 2×4094405412 = 335283113228745362, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409440041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204720270 + 204720271.

It is an arithmetic number, because the mean of its divisors is an integer number (204720271).

Almost surely, 2409440541 is an apocalyptic number.

It is an amenable number.

409440541 is a deficient number, since it is larger than the sum of its proper divisors (1).

409440541 is an equidigital number, since it uses as much as digits as its factorization.

409440541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 409440541 is about 20234.6371600778. The cubic root of 409440541 is about 742.5578280679.

The spelling of 409440541 in words is "four hundred nine million, four hundred forty thousand, five hundred forty-one".