45330 has 16 divisors (see below), whose sum is σ = 108864. Its totient is φ = 12080.

The previous prime is 45329. The next prime is 45337. The reversal of 45330 is 3354.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45330.

It is not an unprimeable number, because it can be changed into a prime (45337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 726 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (6804).

2⁴⁵³³⁰ is an apocalyptic number.

45330 is an abundant number, since it is smaller than the sum of its proper divisors (63534).

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 (54432).

45330 is a wasteful number, since it uses less digits than its factorization.

45330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 45330 is about 212.9084310214. The cubic root of 45330 is about 35.6556676520.

Subtracting from 45330 its product of nonzero digits (180), we obtain a triangular number (45150 = T₃₀₀).

Adding to 45330 its reverse (3354), we get a palindrome (48684).

The spelling of 45330 in words is "forty-five thousand, three hundred thirty".