11480200 has 48 divisors (see below), whose sum is σ = 27157860. Its totient is φ = 4512000.

The previous prime is 11480177. The next prime is 11480251. The reversal of 11480200 is 208411.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1758276 + 9721924 = 1326^2 + 3118^2 .

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 11 ways as a sum of consecutive naturals, for example, 11730 + ... + 12670.

Almost surely, 2^11480200 is an apocalyptic number.

11480200 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 11480200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578930).

11480200 is an abundant number, since it is smaller than the sum of its proper divisors (15677660).

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

11480200 is a wasteful number, since it uses less digits than its factorization.

11480200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 11480200 is about 3388.2443831577. The cubic root of 11480200 is about 225.5882549257.

Adding to 11480200 its reverse (208411), we get a palindrome (11688611).

The spelling of 11480200 in words is "eleven million, four hundred eighty thousand, two hundred".