490279005216 has 864 divisors, whose sum is σ = 1921409538048. Its totient is φ = 116562862080.

The previous prime is 490279005169. The next prime is 490279005253. The reversal of 490279005216 is 612500972094.

490279005216 is a `hidden beast` number, since 490 + 27 + 90 + 0 + 52 + 1 + 6 = 666.

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 143 ways as a sum of consecutive naturals, for example, 256287076 + ... + 256288988.

It is an arithmetic number, because the mean of its divisors is an integer number (2223853632).

Almost surely, 2^490279005216 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 490279005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960704769024).

490279005216 is an abundant number, since it is smaller than the sum of its proper divisors (1431130532832).

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

490279005216 is a wasteful number, since it uses less digits than its factorization.

490279005216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 490279005216 in words is "four hundred ninety billion, two hundred seventy-nine million, five thousand, two hundred sixteen".