11298480 has 80 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 2984704.

The previous prime is 11298467. The next prime is 11298509. The reversal of 11298480 is 8489211.

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

It is a plaindrome in base 13.

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, 42829 + ... + 43091.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 2^11298480 is an apocalyptic number.

11298480 is a gapful number since it is divisible by the number (10) 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 11298480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

11298480 is an abundant number, since it is smaller than the sum of its proper divisors (24056400).

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

11298480 is a wasteful number, since it uses less digits than its factorization.

11298480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 11298480 is about 3361.3211688263. The cubic root of 11298480 is about 224.3916405387.

The spelling of 11298480 in words is "eleven million, two hundred ninety-eight thousand, four hundred eighty".