438464 has 56 divisors (see below), whose sum is σ = 1024128. Its totient is φ = 184320.

The previous prime is 438443. The next prime is 438467. The reversal of 438464 is 464834.

It is not an unprimeable number, because it can be changed into a prime (438467) by changing a digit.

438464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 14129 + ... + 14159.

It is an arithmetic number, because the mean of its divisors is an integer number (18288).

2⁴³⁸⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512064).

438464 is an abundant number, since it is smaller than the sum of its proper divisors (585664).

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

438464 is a wasteful number, since it uses less digits than its factorization.

438464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 63 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 438464 is about 662.1661422936. The cubic root of 438464 is about 75.9704409519.

The spelling of 438464 in words is "four hundred thirty-eight thousand, four hundred sixty-four".