491119776 has 144 divisors (see below), whose sum is σ = 1623585600. Its totient is φ = 137908224.

The previous prime is 491119757. The next prime is 491119777. The reversal of 491119776 is 677911194.

491119776 is a `hidden beast` number, since 491 + 1 + 1 + 97 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (491119777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116880 + ... + 121008.

It is an arithmetic number, because the mean of its divisors is an integer number (11274900).

Almost surely, 2^491119776 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 491119776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811792800).

491119776 is an abundant number, since it is smaller than the sum of its proper divisors (1132465824).

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

491119776 is a wasteful number, since it uses less digits than its factorization.

491119776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4200 counting only the distinct ones).

The product of its digits is 95256, while the sum is 45.

The square root of 491119776 is about 22161.2223489590. Note that the first 3 decimals coincide. The cubic root of 491119776 is about 788.9736048267.

The spelling of 491119776 in words is "four hundred ninety-one million, one hundred nineteen thousand, seven hundred seventy-six".