416364407 has 2 divisors, whose sum is σ = 416364408. Its totient is φ = 416364406.

The previous prime is 416364371. The next prime is 416364409. The reversal of 416364407 is 704463614.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 416364407 - 2²⁴ = 399587191 is a prime.

Together with 416364409, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416364409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208182203 + 208182204.

It is an arithmetic number, because the mean of its divisors is an integer number (208182204).

Almost surely, 2^416364407 is an apocalyptic number.

416364407 is a deficient number, since it is larger than the sum of its proper divisors (1).

416364407 is an equidigital number, since it uses as much as digits as its factorization.

416364407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 416364407 is about 20405.0093604487. The cubic root of 416364407 is about 746.7201410159.

The spelling of 416364407 in words is "four hundred sixteen million, three hundred sixty-four thousand, four hundred seven".