305604 has 36 divisors (see below), whose sum is σ = 833196. Its totient is φ = 93888.

The previous prime is 305603. The next prime is 305611. The reversal of 305604 is 406503.

It is a happy number.

305604 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 2 ways, for example, as 57600 + 248004 = 240^2 + 498^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (305603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142 + ... + 794.

2³⁰⁵⁶⁰⁴ 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 305604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416598).

305604 is an abundant number, since it is smaller than the sum of its proper divisors (527592).

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

305604 is a wasteful number, since it uses less digits than its factorization.

305604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 305604 is about 552.8146163046. The cubic root of 305604 is about 67.3575597125.

It can be divided in two parts, 305 and 604, that added together give a palindrome (909).

The spelling of 305604 in words is "three hundred five thousand, six hundred four".