11478800 has 30 divisors (see below), whose sum is σ = 27578778. Its totient is φ = 4591360.

The previous prime is 11478799. The next prime is 11478827. The reversal of 11478800 is 887411.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 11478544 = 16^2 + 3388^2 .

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 5 ways as a sum of consecutive naturals, for example, 13949 + ... + 14748.

Almost surely, 2^11478800 is an apocalyptic number.

11478800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11478800 is an abundant number, since it is smaller than the sum of its proper divisors (16099978).

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

11478800 is a wasteful number, since it uses less digits than its factorization.

11478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28715 (or 28704 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 11478800 is about 3388.0377801908. The cubic root of 11478800 is about 225.5790844584.

The spelling of 11478800 in words is "eleven million, four hundred seventy-eight thousand, eight hundred".