45388 has 12 divisors (see below), whose sum is σ = 90832. Its totient is φ = 19440.

The previous prime is 45377. The next prime is 45389. The reversal of 45388 is 88354.

45388 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 1621 = 45388 / (4 + 5 + 3 + 8 + 8).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (45389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 783 + ... + 838.

2⁴⁵³⁸⁸ is an apocalyptic number.

It is an amenable number.

45388 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (45416).

45388 is a wasteful number, since it uses less digits than its factorization.

45388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1630 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 45388 is about 213.0445962704. The cubic root of 45388 is about 35.6708683824.

The spelling of 45388 in words is "forty-five thousand, three hundred eighty-eight".