45300 has 36 divisors (see below), whose sum is σ = 131936. Its totient is φ = 12000.

The previous prime is 45293. The next prime is 45307. The reversal of 45300 is 354.

45300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45293) and next prime (45307).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

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.

45300 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 11 ways as a sum of consecutive naturals, for example, 225 + ... + 375.

2⁴⁵³⁰⁰ 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 45300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65968).

45300 is an abundant number, since it is smaller than the sum of its proper divisors (86636).

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

45300 is a wasteful number, since it uses less digits than its factorization.

45300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 45300 is about 212.8379665379. The cubic root of 45300 is about 35.6478001170.

Adding to 45300 its reverse (354), we get a palindrome (45654).

The spelling of 45300 in words is "forty-five thousand, three hundred".