408057961 has 2 divisors, whose sum is σ = 408057962. Its totient is φ = 408057960.

The previous prime is 408057943. The next prime is 408057977. The reversal of 408057961 is 169750804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404613225 + 3444736 = 20115^2 + 1856^2 .

It is a cyclic number.

It is not a de Polignac number, because 408057961 - 2¹³ = 408049769 is a prime.

It is a super-2 number, since 2×408057961² = 333022599070955042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (408057931) 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, 204028980 + 204028981.

It is an arithmetic number, because the mean of its divisors is an integer number (204028981).

Almost surely, 2^408057961 is an apocalyptic number.

It is an amenable number.

408057961 is a deficient number, since it is larger than the sum of its proper divisors (1).

408057961 is an equidigital number, since it uses as much as digits as its factorization.

408057961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 408057961 is about 20200.4445743157. Note that the first 3 decimals coincide. The cubic root of 408057961 is about 741.7210738075.

The spelling of 408057961 in words is "four hundred eight million, fifty-seven thousand, nine hundred sixty-one".