I was able to ssh into the LG N1A1. Turns out they had telnet enabled as of the latest update and it let me login as root.
This is what you get when you connect to 23 :
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LG Electronics NAS (REV 10119) NAS
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NAS login: root
Password:
Last login: Thu Jan 7 03:51:25 PST 2010 from 192.168.1.105 on pts/1
NAS:~#
NAS:~# cd /
NAS:/# ls -l
total 560
drwxr-xr-x 2 root root 4096 Jul 9 2012 bin
drwxr-xr-x 6 root root 4096 Jul 9 2012 boot
drwxr-xr-x 14 root root 3340 Jan 7 03:21 dev
drwxr-xr-x 80 root root 4096 Jan 7 03:51 etc
drwxrwxrwt 3 root root 4096 Jan 1 00:01 export
drwxr-xr-x 5 root root 4096 Jan 7 03:32 home
drwxr-xr-x 11 root root 4096 Nov 29 2011 lib
lrwxrwxrwx 1 root root 11 Jan 1 00:13 linuxrc -> bin/busybox
drwxr-xr-x 2 root root 4096 Mar 14 2011 media
drwxr-xr-x 7 root root 4096 Jul 9 2012 mnt
drwxr-xr-x 2 root root 4096 Mar 14 2011 opt
dr-xr-xr-x 106 root root 0 Dec 31 1969 proc
drwx------ 2 root root 4096 Jan 7 03:51 root
drwxr-xr-x 2 root root 4096 Jul 9 2012 sbin
drwxr-xr-x 2 root root 4096 Jul 21 2010 selinux
drwxr-xr-x 3 root root 4096 May 19 2011 srv
drwxr-xr-x 12 root root 0 Dec 31 1999 sys
drwxrwxrwt 5 root root 507904 Jan 6 06:25 tmp
drwxr-xr-x 15 root root 4096 Jul 9 2012 usr
drwxr-xr-x 16 root root 4096 Jul 9 2012 var
NAS:/# uname -a
Linux NAS 2.6.36.2-lgnas #1 Wed Nov 30 10:16:40 KST 2011 armv5tel GNU/Linux
NAS:/#
At this point you can enable ssh login for the root user and perhaps update the config to run it on the standard port (22).
NAS:/etc/ssh# cp sshd_config sshd_config.old
NAS:/etc/ssh# sed -i 's/Port 2020/Port 22/g' sshd_config
NAS:/etc/ssh# sed -i 's/PermitRootLogin no/PermitRootLogin yes/g' sshd_config
NAS:/etc/ssh# service ssh restart