438864 has 40 divisors (see below), whose sum is σ = 1166592. Its totient is φ = 142080.

The previous prime is 438853. The next prime is 438869. The reversal of 438864 is 468834.

It is a super-2 number, since 2×438864² = 385203220992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438869) by changing a digit.

438864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1857 + ... + 2079.

2⁴³⁸⁸⁶⁴ 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 438864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583296).

438864 is an abundant number, since it is smaller than the sum of its proper divisors (727728).

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

438864 is a wasteful number, since it uses less digits than its factorization.

438864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 438864 is about 662.4681124401. The cubic root of 438864 is about 75.9935359230.

The spelling of 438864 in words is "four hundred thirty-eight thousand, eight hundred sixty-four".