491819328 has 336 divisors, whose sum is σ = 1894978176. Its totient is φ = 117780480.

The previous prime is 491819261. The next prime is 491819353. The reversal of 491819328 is 823918194.

It is a Cunningham number, because it is equal to 22177²-1.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576150 + ... + 577002.

It is an arithmetic number, because the mean of its divisors is an integer number (5639816).

Almost surely, 2^491819328 is an apocalyptic number.

491819328 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 491819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947489088).

491819328 is an abundant number, since it is smaller than the sum of its proper divisors (1403158848).

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

491819328 is a wasteful number, since it uses less digits than its factorization.

491819328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 889 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 491819328 is about 22176.9999774541. Note that the first 4 decimals coincide. The cubic root of 491819328 is about 789.3480323028.

The spelling of 491819328 in words is "four hundred ninety-one million, eight hundred nineteen thousand, three hundred twenty-eight".