438 has 8 divisors (see below), whose sum is σ = 888. Its totient is φ = 144.

The previous prime is 433. The next prime is 439. The reversal of 438 is 834.

438 is nontrivially palindromic in base 5 and base 8.

438 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

438 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

438 is an admirable number.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

438 is a nontrivial repdigit in base 8.

It is a plaindrome in base 8, base 11, base 13 and base 14.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 438.

It is not an unprimeable number, because it can be changed into a prime (431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31 + ... + 42.

It is an arithmetic number, because the mean of its divisors is an integer number (111).

438 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444).

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

438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78.

The product of its digits is 96, while the sum is 15.

The square root of 438 is about 20.9284495365. The cubic root of 438 is about 7.5943633182.

The spelling of 438 in words is "four hundred thirty-eight", and thus it is an aban number.

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