490085680 has 80 divisors (see below), whose sum is σ = 1314558720. Its totient is φ = 166438656.

The previous prime is 490085657. The next prime is 490085689. The reversal of 490085680 is 86580094.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (490085689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55831 + ... + 64009.

It is an arithmetic number, because the mean of its divisors is an integer number (16431984).

Almost surely, 2^490085680 is an apocalyptic number.

490085680 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 490085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657279360).

490085680 is an abundant number, since it is smaller than the sum of its proper divisors (824473040).

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

490085680 is a wasteful number, since it uses less digits than its factorization.

490085680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8306 (or 8300 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 490085680 is about 22137.8788505132. The cubic root of 490085680 is about 788.4194645460.

The spelling of 490085680 in words is "four hundred ninety million, eighty-five thousand, six hundred eighty".