490829506440 has 256 divisors, whose sum is σ = 1837821726720. Its totient is φ = 102100884480.

The previous prime is 490829506417. The next prime is 490829506451. The reversal of 490829506440 is 44605928094.

490829506440 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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, 458787 + ... + 1091853.

It is an arithmetic number, because the mean of its divisors is an integer number (7178991120).

Almost surely, 2^490829506440 is an apocalyptic number.

490829506440 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 490829506440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918910863360).

490829506440 is an abundant number, since it is smaller than the sum of its proper divisors (1346992220280).

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

490829506440 is a wasteful number, since it uses less digits than its factorization.

490829506440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633172 (or 633168 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 490829506440 in words is "four hundred ninety billion, eight hundred twenty-nine million, five hundred six thousand, four hundred forty".