11483280 has 120 divisors (see below), whose sum is σ = 39606840. Its totient is φ = 2979840.

The previous prime is 11483273. The next prime is 11483293. The reversal of 11483280 is 8238411.

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 11370384 = 336^2 + 3372^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 29326 + ... + 29714.

It is an arithmetic number, because the mean of its divisors is an integer number (330057).

Almost surely, 2^11483280 is an apocalyptic number.

11483280 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 11483280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19803420).

11483280 is an abundant number, since it is smaller than the sum of its proper divisors (28123560).

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

11483280 is a wasteful number, since it uses less digits than its factorization.

11483280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11483280 is about 3388.6988653464. The cubic root of 11483280 is about 225.6084273297.

The spelling of 11483280 in words is "eleven million, four hundred eighty-three thousand, two hundred eighty".