492460080 has 320 divisors, whose sum is σ = 1895021568. Its totient is φ = 103219200.

The previous prime is 492460019. The next prime is 492460081. The reversal of 492460080 is 80064294.

It is not an unprimeable number, because it can be changed into a prime (492460081) 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 63 ways as a sum of consecutive naturals, for example, 1227880 + ... + 1228280.

Almost surely, 2^492460080 is an apocalyptic number.

492460080 is a gapful number since it is divisible by the number (40) 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 492460080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947510784).

492460080 is an abundant number, since it is smaller than the sum of its proper divisors (1402561488).

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

492460080 is a wasteful number, since it uses less digits than its factorization.

492460080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 492460080 is about 22191.4415935513. The cubic root of 492460080 is about 789.6906763154.

The spelling of 492460080 in words is "four hundred ninety-two million, four hundred sixty thousand, eighty".