416412961 has 2 divisors, whose sum is σ = 416412962. Its totient is φ = 416412960.

The previous prime is 416412937. The next prime is 416413031. The reversal of 416412961 is 169214614.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 328878225 + 87534736 = 18135^2 + 9356^2 .

It is a cyclic number.

It is not a de Polignac number, because 416412961 - 2⁵ = 416412929 is a prime.

It is not a weakly prime, because it can be changed into another prime (416412761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208206480 + 208206481.

It is an arithmetic number, because the mean of its divisors is an integer number (208206481).

Almost surely, 2^416412961 is an apocalyptic number.

It is an amenable number.

416412961 is a deficient number, since it is larger than the sum of its proper divisors (1).

416412961 is an equidigital number, since it uses as much as digits as its factorization.

416412961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10368, while the sum is 34.

The square root of 416412961 is about 20406.1990826317. The cubic root of 416412961 is about 746.7491659437.

The spelling of 416412961 in words is "four hundred sixteen million, four hundred twelve thousand, nine hundred sixty-one".