11402400 has 72 divisors (see below), whose sum is σ = 37122624. Its totient is φ = 3040000.

The previous prime is 11402357. The next prime is 11402407. The reversal of 11402400 is 420411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11402407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25 + ... + 4775.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^11402400 is an apocalyptic number.

11402400 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 11402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561312).

11402400 is an abundant number, since it is smaller than the sum of its proper divisors (25720224).

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

11402400 is a wasteful number, since it uses less digits than its factorization.

11402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 11402400 is about 3376.7439938497. The cubic root of 11402400 is about 225.0775041638.

Adding to 11402400 its reverse (420411), we get a palindrome (11822811).

The spelling of 11402400 in words is "eleven million, four hundred two thousand, four hundred".