11438800 has 30 divisors (see below), whose sum is σ = 27482678. Its totient is φ = 4575360.

The previous prime is 11438771. The next prime is 11438803. The reversal of 11438800 is 883411.

It can be written as a sum of positive squares in 3 ways, for example, as 3732624 + 7706176 = 1932^2 + 2776^2 .

It is a super-2 number, since 2×11438800² = 261692290880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11438803) by changing a digit.

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, 13899 + ... + 14698.

Almost surely, 2^11438800 is an apocalyptic number.

11438800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11438800 is an abundant number, since it is smaller than the sum of its proper divisors (16043878).

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

11438800 is a wasteful number, since it uses less digits than its factorization.

11438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28615 (or 28604 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 11438800 is about 3382.1295066866. The cubic root of 11438800 is about 225.3167555077.

The spelling of 11438800 in words is "eleven million, four hundred thirty-eight thousand, eight hundred".