492679051921 has 27 divisors (see below), whose sum is σ = 577174369809. Its totient is φ = 419327246688.

The previous prime is 492679051901. The next prime is 492679052071. The reversal of 492679051921 is 129150976294.

It is a happy number.

The square root of 492679051921 is 701911.

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 340373062225 + 152305989696 = 583415^2 + 390264^2 .

It is not a de Polignac number, because 492679051921 - 2⁹ = 492679051409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (492679051901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 967935015 + ... + 967935523.

Almost surely, 2^492679051921 is an apocalyptic number.

492679051921 is the 701911-st square number.

492679051921 is the 350956-th centered octagonal number.

It is an amenable number.

492679051921 is a deficient number, since it is larger than the sum of its proper divisors (84495317888).

492679051921 is an frugal number, since it uses more digits than its factorization.

492679051921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 55.

The spelling of 492679051921 in words is "four hundred ninety-two billion, six hundred seventy-nine million, fifty-one thousand, nine hundred twenty-one".