492942080885401 has 27 divisors (see below), whose sum is σ = 574247465786397. Its totient is φ = 421914728356800.

The previous prime is 492942080885327. The next prime is 492942080885417. The reversal of 492942080885401 is 104588080249294.

The square root of 492942080885401 is 22202299.

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

It can be written as a sum of positive squares in 4 ways, for example, as 79581297097225 + 413360783788176 = 8920835^2 + 20331276^2 .

It is not a de Polignac number, because 492942080885401 - 2⁷ = 492942080885273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (492942080885801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 133191589851 + ... + 133191593551.

Almost surely, 2^{492942080885401} is an apocalyptic number.

492942080885401 is the 22202299-th square number.

492942080885401 is the 11101150-th centered octagonal number.

It is an amenable number.

492942080885401 is a deficient number, since it is larger than the sum of its proper divisors (81305384900996).

492942080885401 is an frugal number, since it uses more digits than its factorization.

492942080885401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9130 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 64.

The spelling of 492942080885401 in words is "four hundred ninety-two trillion, nine hundred forty-two billion, eighty million, eight hundred eighty-five thousand, four hundred one".