Following query lists all dependent object names and their type that are dependent on object [OBJECTNAME]
SELECT DISTINCT name, so.type
FROM sys.objects AS so
INNER JOIN sys.sql_expression_dependencies AS sed
ON so.object_id = sed.referencing_id
WHERE sed.referenced_id = OBJECT_ID('[OBJECTNAME]');
Where type can be one of the object types below:
C = CHECK constraint
D = Default or DEFAULT constraint
F = FOREIGN KEY constraint
L = Log
FN = Scalar function
IF = Inlined table-function
P = Stored procedure
PK = PRIMARY KEY constraint (type is K)
RF = Replication filter stored procedure
S = System table
TF = Table function
TR = Trigger
U = User table
UQ = UNIQUE constraint (type is K)
V = View
X = Extended stored procedure