490768512 has 128 divisors (see below), whose sum is σ = 1486719360. Its totient is φ = 142098432.

The previous prime is 490768511. The next prime is 490768559. The reversal of 490768512 is 215867094.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (490768511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81973 + ... + 87755.

It is an arithmetic number, because the mean of its divisors is an integer number (11614995).

Almost surely, 2^490768512 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 490768512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743359680).

490768512 is an abundant number, since it is smaller than the sum of its proper divisors (995950848).

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

490768512 is a wasteful number, since it uses less digits than its factorization.

490768512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 490768512 is about 22153.2957367521. The cubic root of 490768512 is about 788.7854605513.

The spelling of 490768512 in words is "four hundred ninety million, seven hundred sixty-eight thousand, five hundred twelve".