490980096 has 144 divisors (see below), whose sum is σ = 1462849920. Its totient is φ = 162432000.

The previous prime is 490980079. The next prime is 490980097. The reversal of 490980096 is 690089094.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×490980096² = 482122909336338432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490980097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1734771 + ... + 1735053.

It is an arithmetic number, because the mean of its divisors is an integer number (10158680).

Almost surely, 2^490980096 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 490980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731424960).

490980096 is an abundant number, since it is smaller than the sum of its proper divisors (971869824).

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

490980096 is a wasteful number, since it uses less digits than its factorization.

490980096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 490980096 is about 22158.0706741359. The cubic root of 490980096 is about 788.8988000724.

The spelling of 490980096 in words is "four hundred ninety million, nine hundred eighty thousand, ninety-six".