490223165889600 has 1008 divisors, whose sum is σ = 2050119176099904. Its totient is φ = 109531994112000.

The previous prime is 490223165889599. The next prime is 490223165889623. The reversal of 490223165889600 is 6988561322094.

490223165889600 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 2 + 3 + 16 + 5 + 8 + 8 + 9 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1344475315 + ... + 1344839885.

It is an arithmetic number, because the mean of its divisors is an integer number (2033848388988).

Almost surely, 2^{490223165889600} is an apocalyptic number.

490223165889600 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 490223165889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025059588049952).

490223165889600 is an abundant number, since it is smaller than the sum of its proper divisors (1559896010210304).

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

490223165889600 is a wasteful number, since it uses less digits than its factorization.

490223165889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365276 (or 365258 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 490223165889600 in words is "four hundred ninety trillion, two hundred twenty-three billion, one hundred sixty-five million, eight hundred eighty-nine thousand, six hundred".