490826212992 has 192 divisors, whose sum is σ = 1496396383560. Its totient is φ = 153890979840.

The previous prime is 490826212937. The next prime is 490826212993. The reversal of 490826212992 is 299212628094.

It is a happy number.

490826212992 is a `hidden beast` number, since 4 + 9 + 0 + 8 + 2 + 621 + 2 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 252783706176 + 238042506816 = 502776^2 + 487896^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (490826212993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36674142 + ... + 36687522.

Almost surely, 2^490826212992 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 490826212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748198191780).

490826212992 is an abundant number, since it is smaller than the sum of its proper divisors (1005570170568).

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

490826212992 is a wasteful number, since it uses less digits than its factorization.

490826212992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15291 (or 15276 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 490826212992 in words is "four hundred ninety billion, eight hundred twenty-six million, two hundred twelve thousand, nine hundred ninety-two".