417930681882609 has 135 divisors (see below), whose sum is σ = 726362191755915. Its totient is φ = 230885593313760.

The previous prime is 417930681882607. The next prime is 417930681882613. The reversal of 417930681882609 is 906288186039714.

The square root of 417930681882609 is 20443353.

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

417930681882609 is a `hidden beast` number, since 4 + 1 + 7 + 9 + 3 + 0 + 6 + 8 + 1 + 8 + 8 + 2 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 824727341025 + 417105954541584 = 908145^2 + 20423172^2 .

It is not a de Polignac number, because 417930681882609 - 2¹ = 417930681882607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (417930681882607) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 412567306387 + ... + 412567307399.

Almost surely, 2^{417930681882609} is an apocalyptic number.

417930681882609 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

417930681882609 is the 20443353-rd square number.

417930681882609 is the 10221677-th centered octagonal number.

It is an amenable number.

417930681882609 is a deficient number, since it is larger than the sum of its proper divisors (308431509873306).

417930681882609 is an frugal number, since it uses more digits than its factorization.

417930681882609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 417930681882609 in words is "four hundred seventeen trillion, nine hundred thirty billion, six hundred eighty-one million, eight hundred eighty-two thousand, six hundred nine".