438440 has 32 divisors (see below), whose sum is σ = 1005480. Its totient is φ = 172032.

The previous prime is 438439. The next prime is 438443. The reversal of 438440 is 44834.

It can be written as a sum of positive squares in 4 ways, for example, as 206116 + 232324 = 454^2 + 482^2 .

It is not an unprimeable number, because it can be changed into a prime (438443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3824 + ... + 3936.

2⁴³⁸⁴⁴⁰ is an apocalyptic number.

438440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438440 is an abundant number, since it is smaller than the sum of its proper divisors (567040).

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

438440 is a wasteful number, since it uses less digits than its factorization.

438440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 438440 is about 662.1480197056. The cubic root of 438440 is about 75.9690548070.

It can be divided in two parts, 438 and 440, that added together give a palindrome (878).

The spelling of 438440 in words is "four hundred thirty-eight thousand, four hundred forty".