491506704 has 100 divisors (see below), whose sum is σ = 1532043436. Its totient is φ = 151227648.

The previous prime is 491506657. The next prime is 491506709. The reversal of 491506704 is 407605194.

It can be written as a sum of positive squares in 2 ways, for example, as 55532304 + 435974400 = 7452^2 + 20880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (491506709) 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 19 ways as a sum of consecutive naturals, for example, 2262 + ... + 31434.

Almost surely, 2^491506704 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 491506704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766021718).

491506704 is an abundant number, since it is smaller than the sum of its proper divisors (1040536732).

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

491506704 is a wasteful number, since it uses less digits than its factorization.

491506704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29206 (or 29191 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 491506704 is about 22169.9504735577. The cubic root of 491506704 is about 789.1807476722.

The spelling of 491506704 in words is "four hundred ninety-one million, five hundred six thousand, seven hundred four".