WASHINGTON, D.C. — Donald Trump famously said early in the 2016 campaign that he could “stand in the middle of 5th Avenue and shoot somebody, and I wouldn’t lose voters.” For about 1 in 4 Americans, that just might be true, a new poll indicates.

Asked if they could “think of anything that Trump could do, or fail to do, in his term as president that would make you disapprove of the job he is doing,” about 60 percent of Trump supporters said no, according to a new nationwide poll released by Monmouth University in New Jersey. That’s equivalent to about one-quarter of all Americans overall, given Trump’s current level of support.

At the other end of the scale, most of those who disapprove of Trump said that they could not “think of anything Trump could do, other than resign, in his term as president that would make you approve of the job he is doing.” They made up 28 percent of the total — just slightly larger than the group that said they would support Trump no matter what.

That leaves about half the American public — roughly 1 in 3 of those who support him and about 2 in 5 of those who oppose him — who are potentially open to changing their views about his job performance, the poll indicated.

The Monmouth poll was slightly more favorable to Trump than most recent surveys. The poll found 49 percent of those surveyed disapproving of Trump’s job performance and 41 percent approving. That was about the same as a Monmouth poll taken in July.

On average, recent surveys have shown Trump’s approval slipping during the past month. Averages of recent nonpartisan public polls show about 57 percent of Americans disapproving of Trump’s job performance and 38 percent approving. The most recent Gallup survey, one of the least favorable for Trump, had 61 percent disapproval and 34 percent approval.

Trump’s hardcore supporters are generally older than the overall population (46 percent of them are 55 or older) and significantly more likely to be white, the Monmouth survey found. They are a little less likely to be college educated than the population as a whole, but their income distribution is largely similar to that of the full population.