300040 has 32 divisors (see below), whose sum is σ = 728280. Its totient is φ = 110592.

The previous prime is 300023. The next prime is 300043. The reversal of 300040 is 40003.

300040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 272484 + 27556 = 522^2 + 166^2 .

It is a junction number, because it is equal to n+sod(n) for n = 299996 and 300032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300043) by changing a digit.

300040 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232 + ... + 808.

2³⁰⁰⁰⁴⁰ 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 300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364140).

300040 is an abundant number, since it is smaller than the sum of its proper divisors (428240).

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

300040 is a wasteful number, since it uses less digits than its factorization.

300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 300040 is about 547.7590711253. The cubic root of 300040 is about 66.9462701335.

Adding to 300040 its reverse (40003), we get a palindrome (340043).

The spelling of 300040 in words is "three hundred thousand, forty", and thus it is an iban number.