416064577 has 2 divisors, whose sum is σ = 416064578. Its totient is φ = 416064576.

The previous prime is 416064563. The next prime is 416064589. The reversal of 416064577 is 775460614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 264257536 + 151807041 = 16256^2 + 12321^2 .

It is a cyclic number.

It is not a de Polignac number, because 416064577 - 2¹¹ = 416062529 is a prime.

It is not a weakly prime, because it can be changed into another prime (416064877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208032288 + 208032289.

It is an arithmetic number, because the mean of its divisors is an integer number (208032289).

Almost surely, 2^416064577 is an apocalyptic number.

It is an amenable number.

416064577 is a deficient number, since it is larger than the sum of its proper divisors (1).

416064577 is an equidigital number, since it uses as much as digits as its factorization.

416064577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 416064577 is about 20397.6610668969. The cubic root of 416064577 is about 746.5408566682.

The spelling of 416064577 in words is "four hundred sixteen million, sixty-four thousand, five hundred seventy-seven".