45304 has 16 divisors (see below), whose sum is σ = 97200. Its totient is φ = 19392.

The previous prime is 45293. The next prime is 45307. The reversal of 45304 is 40354.

45304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45307) by changing a digit.

45304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 349 + ... + 460.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2⁴⁵³⁰⁴ is an apocalyptic number.

It is an amenable number.

45304 is an abundant number, since it is smaller than the sum of its proper divisors (51896).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48600).

45304 is a wasteful number, since it uses less digits than its factorization.

45304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 45304 is about 212.8473631502. The cubic root of 45304 is about 35.6488493223.

Adding to 45304 its reverse (40354), we get a palindrome (85658).

Subtracting from 45304 its reverse (40354), we obtain a triangular number (4950 = T₉₉).

The spelling of 45304 in words is "forty-five thousand, three hundred four".