438000 has 80 divisors (see below), whose sum is σ = 1431456. Its totient is φ = 115200.

The previous prime is 437977. The next prime is 438001. The reversal of 438000 is 834.

438000 = T₇₁ + T₇₂ + ... + T₁₄₃.

438000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 438000.

It is not an unprimeable number, because it can be changed into a prime (438001) 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 15 ways as a sum of consecutive naturals, for example, 5964 + ... + 6036.

2⁴³⁸⁰⁰⁰ is an apocalyptic number.

438000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715728).

438000 is an abundant number, since it is smaller than the sum of its proper divisors (993456).

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

438000 is a wasteful number, since it uses less digits than its factorization.

438000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

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

The square root of 438000 is about 661.8156843110. The cubic root of 438000 is about 75.9436331817.

Adding to 438000 its reverse (834), we get a palindrome (438834).

The spelling of 438000 in words is "four hundred thirty-eight thousand".