Below is an example on how to alter the password notification email that WordPress sends users when their password changes. This simply uses the password_change_email hook and passes the $new_message_txt to it.
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add_filter(
'password_change_email',
'wpse207879_change_password_mail_message',
10,
3
);
function wpse207879_change_password_mail_message(
$pass_change_mail,
$user,
$userdata
) {
$new_message_txt = __( 'Some text ###USERNAME### more text
even more text ###EMAIL### more text after more text