491280 has 80 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 123904.

The previous prime is 491279. The next prime is 491297. The reversal of 491280 is 82194.

491280 = 135² + 136² + ... + 157².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 491280.

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 15 ways as a sum of consecutive naturals, for example, 5476 + ... + 5564.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2⁴⁹¹²⁸⁰ is an apocalyptic number.

491280 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 491280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

491280 is an abundant number, since it is smaller than the sum of its proper divisors (1115760).

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

491280 is a wasteful number, since it uses less digits than its factorization.

491280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 491280 is about 700.9136894083. The cubic root of 491280 is about 78.9059394328.

The spelling of 491280 in words is "four hundred ninety-one thousand, two hundred eighty".