This IRS page has a lot of good info:
https://www.irs.gov/retirement-plans/how-much-salary-can-you-defer-if-youre-eligible-for-more-than-one-retirement-planCommon knowledge $18,500 ($24,500 if over age 50) limit
403b participants may also be able to take advantage of the "15-years of service" rule to contribute an extra $3,000
457 plans have the same $18,500 ($24,500 if over age 50) limit, but it's separate so you can contribute to both for a combined $37,000 ($49,000 if over age 50) limit
The limitation for defined contribution plans under Section 415(c)(1)(A) is increased in 2018 from $54,000 to $55,000 (or $61,000 if over age 50)
and then Roth IRAs are separate... the above contributions can lower your MAGI to allow for contributions if needed. $5,500 (or $6,500 if over age 50)
Check with your payroll department to see if these options are available to you.