490808071353600 has 17280 divisors, whose sum is σ = 2804474662133760. Its totient is φ = 81282465792000.

The previous prime is 490808071353563. The next prime is 490808071353601. The reversal of 490808071353600 is 6353170808094.

490808071353600 is a `hidden beast` number, since 4 + 90 + 8 + 0 + 8 + 0 + 7 + 13 + 536 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (17280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490808071353601) by changing a digit.

It is a polite number, since it can be written in 1919 ways as a sum of consecutive naturals, for example, 8318780870371 + ... + 8318780870429.

It is an arithmetic number, because the mean of its divisors is an integer number (162295987392).

Almost surely, 2^{490808071353600} is an apocalyptic number.

490808071353600 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 490808071353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402237331066880).

490808071353600 is an abundant number, since it is smaller than the sum of its proper divisors (2313666590780160).

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

490808071353600 is a wasteful number, since it uses less digits than its factorization.

490808071353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 490808071353600 in words is "four hundred ninety trillion, eight hundred eight billion, seventy-one million, three hundred fifty-three thousand, six hundred".