416382601 has 2 divisors, whose sum is σ = 416382602. Its totient is φ = 416382600.

The previous prime is 416382599. The next prime is 416382613. The reversal of 416382601 is 106283614.

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., 327646201 + 88736400 = 18101^2 + 9420^2 .

It is a cyclic number.

It is not a de Polignac number, because 416382601 - 2¹ = 416382599 is a prime.

Together with 416382599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (416382641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208191300 + 208191301.

It is an arithmetic number, because the mean of its divisors is an integer number (208191301).

Almost surely, 2^416382601 is an apocalyptic number.

It is an amenable number.

416382601 is a deficient number, since it is larger than the sum of its proper divisors (1).

416382601 is an equidigital number, since it uses as much as digits as its factorization.

416382601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 416382601 is about 20405.4551774764. The cubic root of 416382601 is about 746.7310174086.

The spelling of 416382601 in words is "four hundred sixteen million, three hundred eighty-two thousand, six hundred one".