305424 has 80 divisors (see below), whose sum is σ = 1011840. Its totient is φ = 86400.

The previous prime is 305423. The next prime is 305441. The reversal of 305424 is 424503.

It is a happy number.

305424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 305397 and 305406.

It is not an unprimeable number, because it can be changed into a prime (305423) 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, 2974 + ... + 3074.

It is an arithmetic number, because the mean of its divisors is an integer number (12648).

2³⁰⁵⁴²⁴ 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 305424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505920).

305424 is an abundant number, since it is smaller than the sum of its proper divisors (706416).

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

305424 is a wasteful number, since it uses less digits than its factorization.

305424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 305424 is about 552.6517891041. The cubic root of 305424 is about 67.3443326365.

Adding to 305424 its reverse (424503), we get a palindrome (729927).

It can be divided in two parts, 305 and 424, that added together give a 6-th power (729 = 3⁶).

The spelling of 305424 in words is "three hundred five thousand, four hundred twenty-four".