Maha is a Twitter client, focusing on animations and interface.
Other apps give you themes to select, but never give you a full customization. Maha allows you to pick whatever color you want, tune your client with your taste!
With gorgeous animations, this app is also lightning fast , which can perform smooth animations even on iPhone 3G, give you another level of user experience.

Some features:
Unlimited accounts support
Add geotag to your tweets
Tweet the current song #nowplaying
Username suggestion when composing tweet
Shortcuts to post tweets and navigation through different views
Full screen in-app browser
Full screen in-app map
Trending topics
Auto refresh
Upload multiple images
Full error management on posting tweets/retweet/etc.
Autosave draft
Preload data
Image preview
Gap detection
Block users and report spam (Only if you are not following him/her)
Read later (Instapaper + Read it later)
Mobilizers
Translate tweets
Custom background image
Api proxy
Simple to use, easy to understand

=========About Push Notification========
Maha does not and will not support "direct" push notification.
But Maha supports Boxcar, an app which pushes notifications to your phone.
You can enjoy push notifications by simply selecting Maha as the client to open.