490385280 has 512 divisors, whose sum is σ = 2030469120. Its totient is φ = 97689600.

The previous prime is 490385267. The next prime is 490385299. The reversal of 490385280 is 82583094.

It is a happy number.

490385280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4582987 + ... + 4583093.

It is an arithmetic number, because the mean of its divisors is an integer number (3965760).

Almost surely, 2^490385280 is an apocalyptic number.

490385280 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 490385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015234560).

490385280 is an abundant number, since it is smaller than the sum of its proper divisors (1540083840).

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

490385280 is a wasteful number, since it uses less digits than its factorization.

490385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 490385280 is about 22144.6444992915. The cubic root of 490385280 is about 788.5800911222.

The spelling of 490385280 in words is "four hundred ninety million, three hundred eighty-five thousand, two hundred eighty".