438768 has 60 divisors (see below), whose sum is σ = 1344408. Its totient is φ = 132480.

The previous prime is 438761. The next prime is 438769. The reversal of 438768 is 867834.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 438768.

It is not an unprimeable number, because it can be changed into a prime (438761) by changing a digit.

438768 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 11 ways as a sum of consecutive naturals, for example, 1446 + ... + 1722.

2⁴³⁸⁷⁶⁸ is an apocalyptic number.

438768 is a gapful number since it is divisible by the number (48) 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 438768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672204).

438768 is an abundant number, since it is smaller than the sum of its proper divisors (905640).

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

438768 is a wasteful number, since it uses less digits than its factorization.

438768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 438768 is about 662.3956521596. The cubic root of 438768 is about 75.9879944102.

The spelling of 438768 in words is "four hundred thirty-eight thousand, seven hundred sixty-eight".