438948 has 36 divisors (see below), whose sum is σ = 1130220. Its totient is φ = 143616.

The previous prime is 438941. The next prime is 438953. The reversal of 438948 is 849834.

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 272484 = 408^2 + 522^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 438948.

It is not an unprimeable number, because it can be changed into a prime (438941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3136 + ... + 3272.

It is an arithmetic number, because the mean of its divisors is an integer number (31395).

2⁴³⁸⁹⁴⁸ 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 438948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565110).

438948 is an abundant number, since it is smaller than the sum of its proper divisors (691272).

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

438948 is a wasteful number, since it uses less digits than its factorization.

438948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 231 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 438948 is about 662.5315086847. The cubic root of 438948 is about 75.9983840838.

The spelling of 438948 in words is "four hundred thirty-eight thousand, nine hundred forty-eight".