11352400 has 60 divisors (see below), whose sum is σ = 27642204. Its totient is φ = 4480000.

The previous prime is 11352391. The next prime is 11352401. The reversal of 11352400 is 425311.

It can be written as a sum of positive squares in 6 ways, for example, as 646416 + 10705984 = 804^2 + 3272^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11352401) 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 11 ways as a sum of consecutive naturals, for example, 40260 + ... + 40540.

Almost surely, 2^11352400 is an apocalyptic number.

11352400 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 11352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13821102).

11352400 is an abundant number, since it is smaller than the sum of its proper divisors (16289804).

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

11352400 is a wasteful number, since it uses less digits than its factorization.

11352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 11352400 is about 3369.3322780634. The cubic root of 11352400 is about 224.7480306913.

Adding to 11352400 its reverse (425311), we get a palindrome (11777711).

The spelling of 11352400 in words is "eleven million, three hundred fifty-two thousand, four hundred".