1438416 has 60 divisors (see below), whose sum is σ = 4603872. Its totient is φ = 410688.

The previous prime is 1438399. The next prime is 1438417. The reversal of 1438416 is 6148341.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1438416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438417) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 295 + ... + 1721.

2^1438416 is an apocalyptic number.

1438416 is a gapful number since it is divisible by the number (16) 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 1438416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301936).

1438416 is an abundant number, since it is smaller than the sum of its proper divisors (3165456).

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

1438416 is a wasteful number, since it uses less digits than its factorization.

1438416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1439 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1438416 is about 1199.3398184001. The cubic root of 1438416 is about 112.8829026891.

It can be divided in two parts, 14384 and 16, that added together give a square (14400 = 120²).

The spelling of 1438416 in words is "one million, four hundred thirty-eight thousand, four hundred sixteen".