492715872 has 180 divisors, whose sum is σ = 1593786348. Its totient is φ = 149212800.

The previous prime is 492715871. The next prime is 492715907. The reversal of 492715872 is 278517294.

It is a happy number.

492715872 is a `hidden beast` number, since 49 + 27 + 1 + 587 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492715871) 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 29 ways as a sum of consecutive naturals, for example, 312847 + ... + 314417.

Almost surely, 2^492715872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492715872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796893174).

492715872 is an abundant number, since it is smaller than the sum of its proper divisors (1101070476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

492715872 is a wasteful number, since it uses less digits than its factorization.

492715872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1587 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 492715872 is about 22197.2041482706. The cubic root of 492715872 is about 789.8273788302.

The spelling of 492715872 in words is "four hundred ninety-two million, seven hundred fifteen thousand, eight hundred seventy-two".