438416 has 40 divisors (see below), whose sum is σ = 964224. Its totient is φ = 191360.

The previous prime is 438409. The next prime is 438419. The reversal of 438416 is 614834.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438419) by changing a digit.

438416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8246 + ... + 8298.

2⁴³⁸⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482112).

438416 is an abundant number, since it is smaller than the sum of its proper divisors (525808).

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

438416 is a wasteful number, since it uses less digits than its factorization.

438416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 438416 is about 662.1298966215. The cubic root of 438416 is about 75.9676686116.

It can be divided in two parts, 4 and 38416, that multiplied together give a square (153664 = 392²).

The spelling of 438416 in words is "four hundred thirty-eight thousand, four hundred sixteen".