438216 has 48 divisors (see below), whose sum is σ = 1191600. Its totient is φ = 133920.

The previous prime is 438211. The next prime is 438223. The reversal of 438216 is 612834.

438216 = T₂₂₆ + T₂₂₇ + ... + T₂₄₁.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is one of the 548 Lynch-Bell numbers.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (438211) 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, 14121 + ... + 14151.

It is an arithmetic number, because the mean of its divisors is an integer number (24825).

2⁴³⁸²¹⁶ 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 438216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595800).

438216 is an abundant number, since it is smaller than the sum of its proper divisors (753384).

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

438216 is a wasteful number, since it uses less digits than its factorization.

438216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 55 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 438216 is about 661.9788516259. The cubic root of 438216 is about 75.9561150151.

The spelling of 438216 in words is "four hundred thirty-eight thousand, two hundred sixteen".