491211280 has 180 divisors, whose sum is σ = 1385151300. Its totient is φ = 161516544.

The previous prime is 491211271. The next prime is 491211319. The reversal of 491211280 is 82112194.

It can be written as a sum of positive squares in 6 ways, for example, as 33593616 + 457617664 = 5796^2 + 21392^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3296646 + ... + 3296794.

It is an arithmetic number, because the mean of its divisors is an integer number (7695285).

Almost surely, 2^491211280 is an apocalyptic number.

491211280 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 491211280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692575650).

491211280 is an abundant number, since it is smaller than the sum of its proper divisors (893940020).

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

491211280 is a wasteful number, since it uses less digits than its factorization.

491211280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 491211280 is about 22163.2867598648. The cubic root of 491211280 is about 789.0226015352.

The spelling of 491211280 in words is "four hundred ninety-one million, two hundred eleven thousand, two hundred eighty".