45384 has 32 divisors (see below), whose sum is σ = 119040. Its totient is φ = 14400.

The previous prime is 45377. The next prime is 45389. The reversal of 45384 is 48354.

It is a happy number.

45384 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (45389) 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, 714 + ... + 774.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2⁴⁵³⁸⁴ 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 45384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520).

45384 is an abundant number, since it is smaller than the sum of its proper divisors (73656).

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

45384 is a wasteful number, since it uses less digits than its factorization.

45384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 97 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 45384 is about 213.0352083577. The cubic root of 45384 is about 35.6698204721.

45384 divided by its sum of digits (24) gives a triangular number (1891 = T₆₁).

The spelling of 45384 in words is "forty-five thousand, three hundred eighty-four".