490289766835104 has 240 divisors, whose sum is σ = 1526784256548936. Its totient is φ = 153812736000000.

The previous prime is 490289766835103. The next prime is 490289766835147. The reversal of 490289766835104 is 401538667982094.

490289766835104 is a `hidden beast` number, since 4 + 9 + 0 + 28 + 9 + 7 + 6 + 6 + 83 + 510 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 453061952703504 + 37227814131600 = 21285252^2 + 6101460^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (490289766835103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2307128854 + ... + 2307341354.

It is a 1-persistent number, because it is pandigital, but 2⋅490289766835104 = 980579533670208 is not.

Almost surely, 2^{490289766835104} 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 490289766835104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763392128274468).

490289766835104 is an abundant number, since it is smaller than the sum of its proper divisors (1036494489713832).

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

490289766835104 is a wasteful number, since it uses less digits than its factorization.

490289766835104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264901 (or 264884 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 490289766835104 in words is "four hundred ninety trillion, two hundred eighty-nine billion, seven hundred sixty-six million, eight hundred thirty-five thousand, one hundred four".