491580120 has 64 divisors (see below), whose sum is σ = 1486045440. Its totient is φ = 130083200.

The previous prime is 491580059. The next prime is 491580121. The reversal of 491580120 is 21085194.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491580121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85 + ... + 31355.

It is an arithmetic number, because the mean of its divisors is an integer number (23219460).

Almost surely, 2^491580120 is an apocalyptic number.

491580120 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 491580120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743022720).

491580120 is an abundant number, since it is smaller than the sum of its proper divisors (994465320).

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

491580120 is a wasteful number, since it uses less digits than its factorization.

491580120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31416 (or 31412 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 491580120 is about 22171.6061664463. The cubic root of 491580120 is about 789.2200388346.

The spelling of 491580120 in words is "four hundred ninety-one million, five hundred eighty thousand, one hundred twenty".