491225280 has 224 divisors, whose sum is σ = 1919898624. Its totient is φ = 103624704.

The previous prime is 491225263. The next prime is 491225299. The reversal of 491225280 is 82522194.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×491225280³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84549 + ... + 90171.

It is an arithmetic number, because the mean of its divisors is an integer number (8570976).

Almost surely, 2^491225280 is an apocalyptic number.

491225280 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 491225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959949312).

491225280 is an abundant number, since it is smaller than the sum of its proper divisors (1428673344).

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

491225280 is a wasteful number, since it uses less digits than its factorization.

491225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663 (or 5653 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 491225280 is about 22163.6025952461. The cubic root of 491225280 is about 789.0300974349.

The spelling of 491225280 in words is "four hundred ninety-one million, two hundred twenty-five thousand, two hundred eighty".