Prevent SMTP Connections From Outside Localhost

I have a web site which needs to send email to confirm orders and alert subscribed users of certain events. I do not need to send email through the server for any other reason, so I would like to prevent anyone outside of localhost from even connecting to port 25 for SMTP. I've tried to do this like so:

sudo iptables -A INPUT -p tcp -s 0.0.0.0 --dport 25 -j DROP

but I can still telnet to port 25 and type SMTP commands from another computer. What am I doing wrong? Also, is there a better way to achieve what I want? To clarify: what I want is a machine that can send emails (via SMTP), but only ones that originate from scripts running on the machine. And any configuration must "live" through re-boots.

I'm using Postfix on Ubuntu (Hardy).

I think that a better solution, if you don't want to be able to receive emails from outside, is to tell postfix that exactly, in the master.cf file replacing :

smtp      inet  n       -       n       -       -       smtpd

which is usually the first non comment line, but your mileage may vary depending on wether the postfix you have is modified by your vendor, with :

127.0.0.1:smtp      inet  n       -       n       -       -       smtpd

I believe you don't want the -s 0.0.0.0 clause. You're only denying access from the 0.0.0.0 address.

You probably need something like:

sudo iptables -A INPUT -p tcp -s 127.0.0.0/8 --dport 25 -j ACCEPT
sudo iptables -A INPUT -p tcp --dport 25 -j DROP

This will accept any incoming connection from the localhost (i.e. from the loopback range - 127.0.0.1-127.255.255.255) and drop all others.