416068801 has 2 divisors, whose sum is σ = 416068802. Its totient is φ = 416068800.

The previous prime is 416068789. The next prime is 416068813. The reversal of 416068801 is 108860614.

It is a balanced prime because it is at equal distance from previous prime (416068789) and next prime (416068813).

It can be written as a sum of positive squares in only one way, i.e., 377330625 + 38738176 = 19425^2 + 6224^2 .

It is a cyclic number.

It is not a de Polignac number, because 416068801 - 2¹⁹ = 415544513 is a prime.

It is a super-2 number, since 2×416068801² = 346226494331155202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (416068871) 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, 208034400 + 208034401.

It is an arithmetic number, because the mean of its divisors is an integer number (208034401).

Almost surely, 2^416068801 is an apocalyptic number.

It is an amenable number.

416068801 is a deficient number, since it is larger than the sum of its proper divisors (1).

416068801 is an equidigital number, since it uses as much as digits as its factorization.

416068801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 416068801 is about 20397.7646079172. The cubic root of 416068801 is about 746.5433830212.

The spelling of 416068801 in words is "four hundred sixteen million, sixty-eight thousand, eight hundred one".