11300400 has 180 divisors, whose sum is σ = 40677208. Its totient is φ = 2903040.

The previous prime is 11300381. The next prime is 11300407. The reversal of 11300400 is 400311.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11300407) 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 35 ways as a sum of consecutive naturals, for example, 154764 + ... + 154836.

Almost surely, 2^11300400 is an apocalyptic number.

11300400 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 11300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20338604).

11300400 is an abundant number, since it is smaller than the sum of its proper divisors (29376808).

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

11300400 is a wasteful number, since it uses less digits than its factorization.

11300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11300400 is about 3361.6067586795. The cubic root of 11300400 is about 224.4043504356.

Adding to 11300400 its reverse (400311), we get a palindrome (11700711).

The spelling of 11300400 in words is "eleven million, three hundred thousand, four hundred".