408468521 has 2 divisors, whose sum is σ = 408468522. Its totient is φ = 408468520.

The previous prime is 408468497. The next prime is 408468539. The reversal of 408468521 is 125864804.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 360582121 + 47886400 = 18989^2 + 6920^2 .

It is a cyclic number.

It is not a de Polignac number, because 408468521 - 2¹⁸ = 408206377 is a prime.

It is not a weakly prime, because it can be changed into another prime (408465521) 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, 204234260 + 204234261.

It is an arithmetic number, because the mean of its divisors is an integer number (204234261).

Almost surely, 2^408468521 is an apocalyptic number.

It is an amenable number.

408468521 is a deficient number, since it is larger than the sum of its proper divisors (1).

408468521 is an equidigital number, since it uses as much as digits as its factorization.

408468521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 408468521 is about 20210.6041720677. The cubic root of 408468521 is about 741.9697467583.

The spelling of 408468521 in words is "four hundred eight million, four hundred sixty-eight thousand, five hundred twenty-one".