491754564 has 120 divisors (see below), whose sum is σ = 1497279168. Its totient is φ = 137816640.

The previous prime is 491754551. The next prime is 491754583. The reversal of 491754564 is 465457194.

491754564 is a `hidden beast` number, since 49 + 1 + 7 + 545 + 64 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118159 + ... + 122249.

Almost surely, 2^491754564 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 491754564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748639584).

491754564 is an abundant number, since it is smaller than the sum of its proper divisors (1005524604).

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

491754564 is a wasteful number, since it uses less digits than its factorization.

491754564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4167 (or 4156 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 491754564 is about 22175.5397679515. The cubic root of 491754564 is about 789.3133830070.

The spelling of 491754564 in words is "four hundred ninety-one million, seven hundred fifty-four thousand, five hundred sixty-four".