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408480841 is a prime number
BaseRepresentation
bin11000010110001…
…110110001001001
31001110121222101001
4120112032301021
51314032341331
6104311055001
713060013146
oct3026166111
91043558331
10408480841
1119a63877a
12b4971461
1366820852
143c3713cd
1525cdb561
hex1858ec49

408480841 has 2 divisors, whose sum is σ = 408480842. Its totient is φ = 408480840.

The previous prime is 408480749. The next prime is 408480847. The reversal of 408480841 is 148084804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 349129225 + 59351616 = 18685^2 + 7704^2 .

It is a cyclic number.

It is not a de Polignac number, because 408480841 - 29 = 408480329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 408480841.

It is not a weakly prime, because it can be changed into another prime (408480847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204240420 + 204240421.

It is an arithmetic number, because the mean of its divisors is an integer number (204240421).

Almost surely, 2408480841 is an apocalyptic number.

It is an amenable number.

408480841 is a deficient number, since it is larger than the sum of its proper divisors (1).

408480841 is an equidigital number, since it uses as much as digits as its factorization.

408480841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 408480841 is about 20210.9089602620. The cubic root of 408480841 is about 741.9772063093.

The spelling of 408480841 in words is "four hundred eight million, four hundred eighty thousand, eight hundred forty-one".