11378400 has 144 divisors (see below), whose sum is σ = 40497408. Its totient is φ = 2752000.

The previous prime is 11378377. The next prime is 11378407. The reversal of 11378400 is 487311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11378407) 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 23 ways as a sum of consecutive naturals, for example, 26185 + ... + 26615.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 2^11378400 is an apocalyptic number.

11378400 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 11378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248704).

11378400 is an abundant number, since it is smaller than the sum of its proper divisors (29119008).

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

11378400 is a wasteful number, since it uses less digits than its factorization.

11378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 11378400 is about 3373.1884026837. The cubic root of 11378400 is about 224.9194773590.

The spelling of 11378400 in words is "eleven million, three hundred seventy-eight thousand, four hundred".