492129856 has 63 divisors (see below), whose sum is σ = 1014988699. Its totient is φ = 236747648.

The previous prime is 492129853. The next prime is 492129863. The reversal of 492129856 is 658921294.

The square root of 492129856 is 22184.

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

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

Its product of digits (311040) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (492129853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8341155 + ... + 8341213.

Almost surely, 2^492129856 is an apocalyptic number.

492129856 is the 22184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492129856

492129856 is an abundant number, since it is smaller than the sum of its proper divisors (522858843).

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

492129856 is an frugal number, since it uses more digits than its factorization.

492129856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 108 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The cubic root of 492129856 is about 789.5141252035.

The spelling of 492129856 in words is "four hundred ninety-two million, one hundred twenty-nine thousand, eight hundred fifty-six".