438064 has 40 divisors (see below), whose sum is σ = 982080. Its totient is φ = 187200.

The previous prime is 438049. The next prime is 438091. The reversal of 438064 is 460834.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

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, 3279 + ... + 3409.

It is an arithmetic number, because the mean of its divisors is an integer number (24552).

2⁴³⁸⁰⁶⁴ is an apocalyptic number.

438064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

438064 is an abundant number, since it is smaller than the sum of its proper divisors (544016).

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

438064 is a wasteful number, since it uses less digits than its factorization.

438064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 438064 is about 661.8640343756. The cubic root of 438064 is about 75.9473319305.

Adding to 438064 its reverse (460834), we get a palindrome (898898).

It can be divided in two parts, 4380 and 64, that added together give a palindrome (4444).

The spelling of 438064 in words is "four hundred thirty-eight thousand, sixty-four".