Spring Security Handler - Access Denied vs Page not found

I would like to use two different pages for error handling in spring security.

In case the user does not have permission to access a web page I redirect him to an access denied page using the following

<security:intercept-url pattern="/denied" access="permitAll" /> 
<security:access-denied-handler error-page="/denied" />

However, if an user mistype an url (404 page not found) I want the user redirected to error.jsp page. At the moment this is redirected automatically by spring to the access denied page. How can I distinguish the two in Spring security

This my Error Handler

@ControllerAdvice
public class ErrorHandler
{
    @ExceptionHandler(AccessDeniedException.class)
    public String handleAccessException(AccessDeniedException ex)
    {
        return "denied";
    }

    // This is my attempt
    @ExceptionHandler(Throwable.class)
    public String handleAnyException(Throwable ex)
    {
        return "error";
    }
}

Thanks