416795486409 has 21 divisors (see below), whose sum is σ = 624933497469. Its totient is φ = 277852036860.

The previous prime is 416795486383. The next prime is 416795486441. The reversal of 416795486409 is 904684597614.

The square root of 416795486409 is 645597.

It is a perfect power (a square), and thus also a powerful number.

416795486409 is a `hidden beast` number, since 4 + 1 + 67 + 95 + 4 + 86 + 409 = 666.

It is not a de Polignac number, because 416795486409 - 2⁷ = 416795486281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416795486909) 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 in 20 ways as a sum of consecutive naturals, for example, 17419164 + ... + 17443074.

Almost surely, 2^416795486409 is an apocalyptic number.

416795486409 is the 645597-th square number.

416795486409 is the 322799-th centered octagonal number.

It is an amenable number.

416795486409 is a deficient number, since it is larger than the sum of its proper divisors (208138011060).

416795486409 is an frugal number, since it uses more digits than its factorization.

416795486409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47840 (or 23914 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 416795486409 in words is "four hundred sixteen billion, seven hundred ninety-five million, four hundred eighty-six thousand, four hundred nine".