11482800 has 120 divisors (see below), whose sum is σ = 42068736. Its totient is φ = 2622720.

The previous prime is 11482789. The next prime is 11482813. The reversal of 11482800 is 828411.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7717 + ... + 9083.

Almost surely, 2^11482800 is an apocalyptic number.

11482800 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 11482800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21034368).

11482800 is an abundant number, since it is smaller than the sum of its proper divisors (30585936).

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

11482800 is a wasteful number, since it uses less digits than its factorization.

11482800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 11482800 is about 3388.6280409629. The cubic root of 11482800 is about 225.6052838157.

The spelling of 11482800 in words is "eleven million, four hundred eighty-two thousand, eight hundred".