1383200 has 144 divisors (see below), whose sum is σ = 4374720. Its totient is φ = 414720.

The previous prime is 1383199. The next prime is 1383203. The reversal of 1383200 is 23831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1383203) 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, 72791 + ... + 72809.

It is an arithmetic number, because the mean of its divisors is an integer number (30380).

2^1383200 is an apocalyptic number.

1383200 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 1383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187360).

1383200 is an abundant number, since it is smaller than the sum of its proper divisors (2991520).

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

1383200 is a wasteful number, since it uses less digits than its factorization.

1383200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1383200 is about 1176.0952342391. The cubic root of 1383200 is about 111.4196167000.

It can be divided in two parts, 13 and 83200, that multiplied together give a square (1081600 = 1040²).

The spelling of 1383200 in words is "one million, three hundred eighty-three thousand, two hundred".