438120 has 48 divisors (see below), whose sum is σ = 1425060. Its totient is φ = 116736.

The previous prime is 438091. The next prime is 438131. The reversal of 438120 is 21834.

438120 = T₂₉₁ + T₂₉₂ + ... + T₃₀₀.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 427716 + 10404 = 654^2 + 102^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 438093 and 438102.

It is an unprimeable number.

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, 249 + ... + 968.

2⁴³⁸¹²⁰ is an apocalyptic number.

438120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438120 is an abundant number, since it is smaller than the sum of its proper divisors (986940).

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

438120 is a wasteful number, since it uses less digits than its factorization.

438120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 438120 is about 661.9063377850. The cubic root of 438120 is about 75.9505680401.

Adding to 438120 its reverse (21834), we get a palindrome (459954).

The spelling of 438120 in words is "four hundred thirty-eight thousand, one hundred twenty".