1438200 has 144 divisors (see below), whose sum is σ = 5222880. Its totient is φ = 353280.

The previous prime is 1438181. The next prime is 1438207. The reversal of 1438200 is 28341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438207) 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 35 ways as a sum of consecutive naturals, for example, 30577 + ... + 30623.

It is an arithmetic number, because the mean of its divisors is an integer number (36270).

2^1438200 is an apocalyptic number.

1438200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1438200 is the 600-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1438200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611440).

1438200 is an abundant number, since it is smaller than the sum of its proper divisors (3784680).

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

1438200 is a wasteful number, since it uses less digits than its factorization.

1438200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1438200 is about 1199.2497654784. The cubic root of 1438200 is about 112.8772520457.

The spelling of 1438200 in words is "one million, four hundred thirty-eight thousand, two hundred".