490271680 has 112 divisors (see below), whose sum is σ = 1260774720. Its totient is φ = 181035008.

The previous prime is 490271671. The next prime is 490271693. The reversal of 490271680 is 86172094.

It is a congruent number.

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, 212292 + ... + 214588.

Almost surely, 2^490271680 is an apocalyptic number.

490271680 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 490271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630387360).

490271680 is an abundant number, since it is smaller than the sum of its proper divisors (770503040).

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

490271680 is a wasteful number, since it uses less digits than its factorization.

490271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 490271680 is about 22142.0793964795. The cubic root of 490271680 is about 788.5191936875.

The spelling of 490271680 in words is "four hundred ninety million, two hundred seventy-one thousand, six hundred eighty".