491131008 has 192 divisors, whose sum is σ = 1492147800. Its totient is φ = 154828800.

The previous prime is 491130989. The next prime is 491131009. The reversal of 491131008 is 800131194.

It can be written as a sum of positive squares in 4 ways, for example, as 356756544 + 134374464 = 18888^2 + 11592^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491131009) 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, 2037768 + ... + 2038008.

Almost surely, 2^491131008 is an apocalyptic number.

491131008 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 491131008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746073900).

491131008 is an abundant number, since it is smaller than the sum of its proper divisors (1001016792).

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

491131008 is a wasteful number, since it uses less digits than its factorization.

491131008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 491131008 is about 22161.4757631345. The cubic root of 491131008 is about 788.9796194382.

The spelling of 491131008 in words is "four hundred ninety-one million, one hundred thirty-one thousand, eight".