491008752 has 120 divisors (see below), whose sum is σ = 1527763328. Its totient is φ = 146188800.

The previous prime is 491008717. The next prime is 491008753. The reversal of 491008752 is 257800194.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491008753) 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, 53802 + ... + 62262.

Almost surely, 2^491008752 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 491008752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763881664).

491008752 is an abundant number, since it is smaller than the sum of its proper divisors (1036754576).

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

491008752 is a wasteful number, since it uses less digits than its factorization.

491008752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8519 (or 8510 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 491008752 is about 22158.7172913957. The cubic root of 491008752 is about 788.9141477714.

The spelling of 491008752 in words is "four hundred ninety-one million, eight thousand, seven hundred fifty-two".