The department shall notify any person assessed pursuant to section 453A.28 by sending a written notice of the determination by mail to the principal place of business of the person as shown on the person’s application for permit, and if an application was not filed by the person, to the person’s last known address. A determination by the department of the amount of tax, penalty, and interest due, or the amount of refund for excess tax paid, is final, unless the person aggrieved by the determination appeals to the director for a revision of the determination within sixty days from the date of the notice of determination of tax, penalty, and interest or refund owing or unless the taxpayer contests the determination by paying the tax, interest, and penalty and timely filing a claim for refund. The director shall grant a hearing and upon the hearing, the director shall determine the correct tax, penalty, and interest or refund due and notify the appellant of the decision by mail. Judicial review of action of the director may be sought in accordance with the Iowa administrative procedure Act, chapter 17A, and section 422.29.