438408 has 24 divisors (see below), whose sum is σ = 1187550. Its totient is φ = 146112.

The previous prime is 438401. The next prime is 438409. The reversal of 438408 is 804834.

It can be written as a sum of positive squares in only one way, i.e., 412164 + 26244 = 642^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (438401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2973 + ... + 3116.

2⁴³⁸⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

438408 is an abundant number, since it is smaller than the sum of its proper divisors (749142).

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

438408 is a wasteful number, since it uses less digits than its factorization.

438408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 438408 is about 662.1238554832. The cubic root of 438408 is about 75.9672065352.

The spelling of 438408 in words is "four hundred thirty-eight thousand, four hundred eight".