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There are $5 \cdot 8 \cdot 8 \cdot 7 = 2, 240.$ The recipe is as follows:

  1. Choose the last digit (which must be odd) – $5$ choices
  2. Choose the first digit (can’t be zero and must be different from the last) – $8$ choices
  3. Choose the second digit (can’t be the same as either the first or last)– $8$ choices
  4. Choose the third digit (can’t be the same as either the first, second, or last) – $7$ choices
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