416493101 has 2 divisors, whose sum is σ = 416493102. Its totient is φ = 416493100.

The previous prime is 416493089. The next prime is 416493109. The reversal of 416493101 is 101394614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 369639076 + 46854025 = 19226^2 + 6845^2 .

It is a cyclic number.

It is not a de Polignac number, because 416493101 - 2⁶ = 416493037 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 (416493109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208246550 + 208246551.

It is an arithmetic number, because the mean of its divisors is an integer number (208246551).

Almost surely, 2^416493101 is an apocalyptic number.

It is an amenable number.

416493101 is a deficient number, since it is larger than the sum of its proper divisors (1).

416493101 is an equidigital number, since it uses as much as digits as its factorization.

416493101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 416493101 is about 20408.1626071531. The cubic root of 416493101 is about 746.7970676223.

The spelling of 416493101 in words is "four hundred sixteen million, four hundred ninety-three thousand, one hundred one".