416450101 has 2 divisors, whose sum is σ = 416450102. Its totient is φ = 416450100.

The previous prime is 416450081. The next prime is 416450107. The reversal of 416450101 is 101054614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 402002500 + 14447601 = 20050^2 + 3801^2 .

It is a cyclic number.

It is not a de Polignac number, because 416450101 - 2⁷ = 416449973 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416450107) 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, 208225050 + 208225051.

It is an arithmetic number, because the mean of its divisors is an integer number (208225051).

Almost surely, 2^416450101 is an apocalyptic number.

It is an amenable number.

416450101 is a deficient number, since it is larger than the sum of its proper divisors (1).

416450101 is an equidigital number, since it uses as much as digits as its factorization.

416450101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 416450101 is about 20407.1090799260. The cubic root of 416450101 is about 746.7713662129.

The spelling of 416450101 in words is "four hundred sixteen million, four hundred fifty thousand, one hundred one".