490585008 has 80 divisors (see below), whose sum is σ = 1316915712. Its totient is φ = 157248000.

The previous prime is 490584989. The next prime is 490585027. The reversal of 490585008 is 800585094.

It is an interprime number because it is at equal distance from previous prime (490584989) and next prime (490585027).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137973 + ... + 141483.

Almost surely, 2^490585008 is an apocalyptic number.

490585008 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 490585008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658457856).

490585008 is an abundant number, since it is smaller than the sum of its proper divisors (826330704).

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

490585008 is a wasteful number, since it uses less digits than its factorization.

490585008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 490585008 is about 22149.1536632893. The cubic root of 490585008 is about 788.6871363054.

The spelling of 490585008 in words is "four hundred ninety million, five hundred eighty-five thousand, eight".