492715008 has 176 divisors, whose sum is σ = 1485630720. Its totient is φ = 161280000.

The previous prime is 492715001. The next prime is 492715009. The reversal of 492715008 is 800517294.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492715001) 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 15 ways as a sum of consecutive naturals, for example, 1962883 + ... + 1963133.

Almost surely, 2^492715008 is an apocalyptic number.

492715008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492715008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742815360).

492715008 is an abundant number, since it is smaller than the sum of its proper divisors (992915712).

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

492715008 is a wasteful number, since it uses less digits than its factorization.

492715008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 492715008 is about 22197.1846863516. The cubic root of 492715008 is about 789.8269171637.

The spelling of 492715008 in words is "four hundred ninety-two million, seven hundred fifteen thousand, eight".