438540 has 24 divisors (see below), whose sum is σ = 1228080. Its totient is φ = 116928.

The previous prime is 438533. The next prime is 438551. The reversal of 438540 is 45834.

It is a happy number.

438540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 438540.

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, 3595 + ... + 3714.

It is an arithmetic number, because the mean of its divisors is an integer number (51170).

2⁴³⁸⁵⁴⁰ is an apocalyptic number.

It is an amenable number.

438540 is an abundant number, since it is smaller than the sum of its proper divisors (789540).

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

438540 is a wasteful number, since it uses less digits than its factorization.

438540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7321 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 438540 is about 662.2235272172. The cubic root of 438540 is about 75.9748300769.

Subtracting from 438540 its sum of digits (24), we obtain a triangular number (438516 = T₉₃₆).

The spelling of 438540 in words is "four hundred thirty-eight thousand, five hundred forty".