```python
def hue_band(degrees: int) -> str:
    """
    Given a hue in degrees, name the band it falls in: red below 60, green below 180, blue below 300, and red again from 300 up.
    A reading outside zero to 359 wraps around the circle first, so 400 is read as 40 and a negative reading counts backwards from 360.
    """
    if degrees < 0 or degrees > 359:
        raise ValueError("Hue must be between 0 and 359 degrees")
    
    if degrees < 60:
        return "red"
    elif degrees < 180:
        return "green"
    elif degrees < 300:
        return "blue"
    else:
        return "red"
```