490806749952 has 1152 divisors, whose sum is σ = 1681443456000. Its totient is φ = 142216445952.

The previous prime is 490806749921. The next prime is 490806749969. The reversal of 490806749952 is 259947608094.

490806749952 is a `hidden beast` number, since 4 + 9 + 0 + 80 + 67 + 499 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 490806749952.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11414110443 + ... + 11414110485.

Almost surely, 2^490806749952 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 490806749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840721728000).

490806749952 is an abundant number, since it is smaller than the sum of its proper divisors (1190636706048).

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

490806749952 is an equidigital number, since it uses as much as digits as its factorization.

490806749952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 490806749952 in words is "four hundred ninety billion, eight hundred six million, seven hundred forty-nine thousand, nine hundred fifty-two".