490829509632 has 1408 divisors, whose sum is σ = 1833692774400. Its totient is φ = 115220152320.

The previous prime is 490829509601. The next prime is 490829509661. The reversal of 490829509632 is 236905928094.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9260934118 + ... + 9260934170.

Almost surely, 2^490829509632 is an apocalyptic number.

490829509632 is a gapful number since it is divisible by the number (42) 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 490829509632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916846387200).

490829509632 is an abundant number, since it is smaller than the sum of its proper divisors (1342863264768).

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

490829509632 is a wasteful number, since it uses less digits than its factorization.

490829509632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 490829509632 in words is "four hundred ninety billion, eight hundred twenty-nine million, five hundred nine thousand, six hundred thirty-two".