438560 has 24 divisors (see below), whose sum is σ = 1036476. Its totient is φ = 175360.

The previous prime is 438551. The next prime is 438569. The reversal of 438560 is 65834.

It is an interprime number because it is at equal distance from previous prime (438551) and next prime (438569).

It can be written as a sum of positive squares in 2 ways, for example, as 425104 + 13456 = 652^2 + 116^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (438569) by changing a digit.

438560 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 3 ways as a sum of consecutive naturals, for example, 1211 + ... + 1530.

2⁴³⁸⁵⁶⁰ is an apocalyptic number.

438560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438560 is an abundant number, since it is smaller than the sum of its proper divisors (597916).

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

438560 is a wasteful number, since it uses less digits than its factorization.

438560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 438560 is about 662.2386276864. The cubic root of 438560 is about 75.9759850255.

The spelling of 438560 in words is "four hundred thirty-eight thousand, five hundred sixty".