408217488561 has 15 divisors (see below), whose sum is σ = 609814961833. Its totient is φ = 272141158860.

The previous prime is 408217488559. The next prime is 408217488571. The reversal of 408217488561 is 165884712804.

The square root of 408217488561 is 638919.

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

408217488561 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 1 + 74 + 8 + 8 + 561 = 666.

It is not a de Polignac number, because 408217488561 - 2¹ = 408217488559 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 408217488498 and 408217488507.

It is not an unprimeable number, because it can be changed into a prime (408217488571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5714776 + ... + 5785766.

Almost surely, 2^408217488561 is an apocalyptic number.

408217488561 is the 638919-th square number.

408217488561 is the 319460-th centered octagonal number.

It is an amenable number.

408217488561 is a deficient number, since it is larger than the sum of its proper divisors (201597473272).

408217488561 is an frugal number, since it uses more digits than its factorization.

408217488561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141994 (or 70994 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 408217488561 in words is "four hundred eight billion, two hundred seventeen million, four hundred eighty-eight thousand, five hundred sixty-one".