490082528640 has 256 divisors, whose sum is σ = 1581301854720. Its totient is φ = 129095368704.

The previous prime is 490082528599. The next prime is 490082528641. The reversal of 490082528640 is 46825280094.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 490082528640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490082528641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52259632 + ... + 52269008.

It is an arithmetic number, because the mean of its divisors is an integer number (6176960370).

Almost surely, 2^490082528640 is an apocalyptic number.

490082528640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490082528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790650927360).

490082528640 is an abundant number, since it is smaller than the sum of its proper divisors (1091219326080).

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

490082528640 is a wasteful number, since it uses less digits than its factorization.

490082528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9729 (or 9717 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 490082528640 in words is "four hundred ninety billion, eighty-two million, five hundred twenty-eight thousand, six hundred forty".