416205641 has 2 divisors, whose sum is σ = 416205642. Its totient is φ = 416205640.

The previous prime is 416205607. The next prime is 416205683. The reversal of 416205641 is 146502614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 262569616 + 153636025 = 16204^2 + 12395^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-416205641 is a prime.

It is a super-3 number, since 3×416205641³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (416295641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208102820 + 208102821.

It is an arithmetic number, because the mean of its divisors is an integer number (208102821).

Almost surely, 2^416205641 is an apocalyptic number.

It is an amenable number.

416205641 is a deficient number, since it is larger than the sum of its proper divisors (1).

416205641 is an equidigital number, since it uses as much as digits as its factorization.

416205641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 416205641 is about 20401.1186212913. The cubic root of 416205641 is about 746.6252170824.

The spelling of 416205641 in words is "four hundred sixteen million, two hundred five thousand, six hundred forty-one".