491403988224 has 180 divisors, whose sum is σ = 1465899240960. Its totient is φ = 163731870720.

The previous prime is 491403988223. The next prime is 491403988237. The reversal of 491403988224 is 422889304194.

It is a happy number.

491403988224 is a `hidden beast` number, since 4 + 9 + 1 + 403 + 9 + 8 + 8 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491403988223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78358209 + ... + 78364479.

It is an arithmetic number, because the mean of its divisors is an integer number (8143884672).

Almost surely, 2^491403988224 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 491403988224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732949620480).

491403988224 is an abundant number, since it is smaller than the sum of its proper divisors (974495252736).

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

491403988224 is an equidigital number, since it uses as much as digits as its factorization.

491403988224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10078 (or 10055 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 491403988224 in words is "four hundred ninety-one billion, four hundred three million, nine hundred eighty-eight thousand, two hundred twenty-four".