1438320 has 80 divisors (see below), whose sum is σ = 4812192. Its totient is φ = 353280.

The previous prime is 1438303. The next prime is 1438379. The reversal of 1438320 is 238341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2890 + ... + 3350.

2^1438320 is an apocalyptic number.

1438320 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 1438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406096).

1438320 is an abundant number, since it is smaller than the sum of its proper divisors (3373872).

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

1438320 is a wasteful number, since it uses less digits than its factorization.

1438320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1438320 is about 1199.2997957141. The cubic root of 1438320 is about 112.8803913619.

Adding to 1438320 its sum of digits (21), we get a palindrome (1438341).

The spelling of 1438320 in words is "one million, four hundred thirty-eight thousand, three hundred twenty".