490124588976 has 240 divisors, whose sum is σ = 1509203404800. Its totient is φ = 147253985280.

The previous prime is 490124588971. The next prime is 490124588977. The reversal of 490124588976 is 679885421094.

490124588976 is a `hidden beast` number, since 4 + 90 + 1 + 2 + 458 + 8 + 97 + 6 = 666.

It is a super-3 number, since 3×490124588976³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (490124588971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90777925 + ... + 90783323.

It is an arithmetic number, because the mean of its divisors is an integer number (6288347520).

Almost surely, 2^490124588976 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 490124588976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754601702400).

490124588976 is an abundant number, since it is smaller than the sum of its proper divisors (1019078815824).

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

490124588976 is a wasteful number, since it uses less digits than its factorization.

490124588976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904 (or 5895 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 490124588976 in words is "four hundred ninety billion, one hundred twenty-four million, five hundred eighty-eight thousand, nine hundred seventy-six".