490712831424 has 252 divisors, whose sum is σ = 1546501183344. Its totient is φ = 153946884096.

The previous prime is 490712831419. The next prime is 490712831443. The reversal of 490712831424 is 424138217094.

490712831424 is a `hidden beast` number, since 490 + 7 + 12 + 8 + 3 + 142 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 490712831424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7103997 + ... + 7172739.

Almost surely, 2^490712831424 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 490712831424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773250591672).

490712831424 is an abundant number, since it is smaller than the sum of its proper divisors (1055788351920).

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

490712831424 is an frugal number, since it uses more digits than its factorization.

490712831424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68796 (or 68765 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 490712831424 in words is "four hundred ninety billion, seven hundred twelve million, eight hundred thirty-one thousand, four hundred twenty-four".