11472400 has 120 divisors (see below), whose sum is σ = 30444480. Its totient is φ = 4139520.

The previous prime is 11472397. The next prime is 11472401. The reversal of 11472400 is 427411.

It is not an unprimeable number, because it can be changed into a prime (11472401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266779 + ... + 266821.

It is an arithmetic number, because the mean of its divisors is an integer number (253704).

Almost surely, 2^11472400 is an apocalyptic number.

11472400 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 11472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15222240).

11472400 is an abundant number, since it is smaller than the sum of its proper divisors (18972080).

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

11472400 is a wasteful number, since it uses less digits than its factorization.

11472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 11472400 is about 3387.0931489996. The cubic root of 11472400 is about 225.5371528239.

Adding to 11472400 its reverse (427411), we get a palindrome (11899811).

The spelling of 11472400 in words is "eleven million, four hundred seventy-two thousand, four hundred".