11442400 has 36 divisors (see below), whose sum is σ = 27935712. Its totient is φ = 4576640.

The previous prime is 11442383. The next prime is 11442413. The reversal of 11442400 is 424411.

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

It is a congruent number.

It is an unprimeable number.

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, 6352 + ... + 7951.

It is an arithmetic number, because the mean of its divisors is an integer number (775992).

Almost surely, 2^11442400 is an apocalyptic number.

11442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442400 is an abundant number, since it is smaller than the sum of its proper divisors (16493312).

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

11442400 is a wasteful number, since it uses less digits than its factorization.

11442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14323 (or 14310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 11442400 is about 3382.6616738894. The cubic root of 11442400 is about 225.3403901326.

Adding to 11442400 its reverse (424411), we get a palindrome (11866811).

It can be divided in two parts, 1 and 1442400, that added together give a square (1442401 = 1201²).

The spelling of 11442400 in words is "eleven million, four hundred forty-two thousand, four hundred".