45030 has 32 divisors (see below), whose sum is σ = 115200. Its totient is φ = 11232.

The previous prime is 45013. The next prime is 45053. The reversal of 45030 is 3054.

It is an alternating number because its digits alternate between even and odd.

45030 is a Rhonda number in base 4.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 44997 and 45015.

It is a congruent number.

It is an unprimeable number.

45030 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2⁴⁵⁰³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600).

45030 is an abundant number, since it is smaller than the sum of its proper divisors (70170).

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

45030 is a wasteful number, since it uses less digits than its factorization.

45030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

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

The square root of 45030 is about 212.2027332529. The cubic root of 45030 is about 35.5768354964.

Adding to 45030 its reverse (3054), we get a palindrome (48084).

The spelling of 45030 in words is "forty-five thousand, thirty".