1388200 has 48 divisors (see below), whose sum is σ = 3526560. Its totient is φ = 504000.

The previous prime is 1388183. The next prime is 1388227. The reversal of 1388200 is 28831.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1885 + ... + 2515.

It is an arithmetic number, because the mean of its divisors is an integer number (73470).

2^1388200 is an apocalyptic number.

1388200 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 1388200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763280).

1388200 is an abundant number, since it is smaller than the sum of its proper divisors (2138360).

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

1388200 is a wasteful number, since it uses less digits than its factorization.

1388200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1388200 is about 1178.2189949241. The cubic root of 1388200 is about 111.5537086995.

It can be divided in two parts, 138 and 8200, that added together give a palindrome (8338).

The spelling of 1388200 in words is "one million, three hundred eighty-eight thousand, two hundred".