490672180224 has 352 divisors, whose sum is σ = 1478661094400. Its totient is φ = 160705658880.

The previous prime is 490672180211. The next prime is 490672180231. The reversal of 490672180224 is 422081276094.

490672180224 is a `hidden beast` number, since 490 + 67 + 2 + 1 + 80 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 490672180224.

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 31 ways as a sum of consecutive naturals, for example, 605020779 + ... + 605021589.

Almost surely, 2^490672180224 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 490672180224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739330547200).

490672180224 is an abundant number, since it is smaller than the sum of its proper divisors (987988914176).

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

490672180224 is a wasteful number, since it uses less digits than its factorization.

490672180224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 490672180224 in words is "four hundred ninety billion, six hundred seventy-two million, one hundred eighty thousand, two hundred twenty-four".