490690030752 has 576 divisors, whose sum is σ = 1576214640000. Its totient is φ = 144044457984.

The previous prime is 490690030711. The next prime is 490690030759. The reversal of 490690030752 is 257030096094.

It is a happy number.

490690030752 is a `hidden beast` number, since 490 + 6 + 90 + 0 + 3 + 0 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 490690030698 and 490690030707.

It is not an unprimeable number, because it can be changed into a prime (490690030759) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1092850624 + ... + 1092851072.

It is an arithmetic number, because the mean of its divisors is an integer number (2736483750).

Almost surely, 2^490690030752 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 490690030752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788107320000).

490690030752 is an abundant number, since it is smaller than the sum of its proper divisors (1085524609248).

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

490690030752 is a wasteful number, since it uses less digits than its factorization.

490690030752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 490690030752 in words is "four hundred ninety billion, six hundred ninety million, thirty thousand, seven hundred fifty-two".