490780297728 has 640 divisors, whose sum is σ = 1721546956800. Its totient is φ = 135137673216.

The previous prime is 490780297703. The next prime is 490780297877. The reversal of 490780297728 is 827792087094.

490780297728 is a `hidden beast` number, since 490 + 78 + 0 + 2 + 9 + 7 + 72 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 328720150 + ... + 328721642.

It is an arithmetic number, because the mean of its divisors is an integer number (2689917120).

Almost surely, 2^490780297728 is an apocalyptic number.

490780297728 is a gapful number since it is divisible by the number (48) 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 490780297728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860773478400).

490780297728 is an abundant number, since it is smaller than the sum of its proper divisors (1230766659072).

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

490780297728 is a wasteful number, since it uses less digits than its factorization.

490780297728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The spelling of 490780297728 in words is "four hundred ninety billion, seven hundred eighty million, two hundred ninety-seven thousand, seven hundred twenty-eight".