490904893072 has 360 divisors, whose sum is σ = 1162170053856. Its totient is φ = 200789529600.

The previous prime is 490904893067. The next prime is 490904893091. The reversal of 490904893072 is 270398409094.

It is a super-2 number, since 2×490904893072² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5914516743 + ... + 5914516825.

Almost surely, 2^490904893072 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 490904893072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581085026928).

490904893072 is an abundant number, since it is smaller than the sum of its proper divisors (671265160784).

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

490904893072 is a wasteful number, since it uses less digits than its factorization.

490904893072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 490904893072 in words is "four hundred ninety billion, nine hundred four million, eight hundred ninety-three thousand, seventy-two".