490466951856 has 480 divisors, whose sum is σ = 1743745536000. Its totient is φ = 125464412160.

The previous prime is 490466951713. The next prime is 490466951959. The reversal of 490466951856 is 658159664094.

490466951856 is a `hidden beast` number, since 4 + 9 + 0 + 4 + 6 + 69 + 518 + 56 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 490466951793 and 490466951802.

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 95 ways as a sum of consecutive naturals, for example, 31333920 + ... + 31349568.

It is an arithmetic number, because the mean of its divisors is an integer number (3632803200).

Almost surely, 2^490466951856 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 490466951856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871872768000).

490466951856 is an abundant number, since it is smaller than the sum of its proper divisors (1253278584144).

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

490466951856 is a wasteful number, since it uses less digits than its factorization.

490466951856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15777 (or 15768 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 490466951856 in words is "four hundred ninety billion, four hundred sixty-six million, nine hundred fifty-one thousand, eight hundred fifty-six".