305844 has 48 divisors (see below), whose sum is σ = 892416. Its totient is φ = 79200.

The previous prime is 305839. The next prime is 305849. The reversal of 305844 is 448503.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (305839) and next prime (305849).

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 305844.

It is not an unprimeable number, because it can be changed into a prime (305849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759 + ... + 1089.

It is an arithmetic number, because the mean of its divisors is an integer number (18592).

2³⁰⁵⁸⁴⁴ 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 305844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446208).

305844 is an abundant number, since it is smaller than the sum of its proper divisors (586572).

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

305844 is a wasteful number, since it uses less digits than its factorization.

305844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 305844 is about 553.0316446642. The cubic root of 305844 is about 67.3751877369.

The spelling of 305844 in words is "three hundred five thousand, eight hundred forty-four".