490882820064 has 384 divisors, whose sum is σ = 1621333324800. Its totient is φ = 129220761600.

The previous prime is 490882820033. The next prime is 490882820083. The reversal of 490882820064 is 460028288094.

It is a junction number, because it is equal to n+sod(n) for n = 490882819989 and 490882820016.

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, 415649554 + ... + 415650734.

It is an arithmetic number, because the mean of its divisors is an integer number (4222222200).

Almost surely, 2^490882820064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490882820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810666662400).

490882820064 is an abundant number, since it is smaller than the sum of its proper divisors (1130450504736).

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

490882820064 is a wasteful number, since it uses less digits than its factorization.

490882820064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 490882820064 in words is "four hundred ninety billion, eight hundred eighty-two million, eight hundred twenty thousand, sixty-four".