438500 has 24 divisors (see below), whose sum is σ = 958776. Its totient is φ = 175200.

The previous prime is 438499. The next prime is 438517. The reversal of 438500 is 5834.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 438244 = 16^2 + 662^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (39949).

2⁴³⁸⁵⁰⁰ 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 438500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479388).

438500 is an abundant number, since it is smaller than the sum of its proper divisors (520276).

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

438500 is a wasteful number, since it uses less digits than its factorization.

438500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 438500 is about 662.1933252457. The cubic root of 438500 is about 75.9725200743.

The spelling of 438500 in words is "four hundred thirty-eight thousand, five hundred".