491974560 has 960 divisors, whose sum is σ = 2371057920. Its totient is φ = 92897280.

The previous prime is 491974559. The next prime is 491974573. The reversal of 491974560 is 65479194.

491974560 is a `hidden beast` number, since 4 + 9 + 19 + 74 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16964626 + ... + 16964654.

It is an arithmetic number, because the mean of its divisors is an integer number (2469852).

Almost surely, 2^491974560 is an apocalyptic number.

491974560 is a gapful number since it is divisible by the number (40) 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 491974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185528960).

491974560 is an abundant number, since it is smaller than the sum of its proper divisors (1879083360).

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

491974560 is a wasteful number, since it uses less digits than its factorization.

491974560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 491974560 is about 22180.4995435180. The cubic root of 491974560 is about 789.4310703735.

The spelling of 491974560 in words is "four hundred ninety-one million, nine hundred seventy-four thousand, five hundred sixty".