202980 has 48 divisors (see below), whose sum is σ = 604800. Its totient is φ = 50688.

The previous prime is 202973. The next prime is 202981. The reversal of 202980 is 89202.

202980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (202981) by changing a digit.

202980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 921 + ... + 1119.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2²⁰²⁹⁸⁰ is an apocalyptic number.

202980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302400).

202980 is an abundant number, since it is smaller than the sum of its proper divisors (401820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202980 is a wasteful number, since it uses less digits than its factorization.

202980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 202980 is about 450.5330176580. The cubic root of 202980 is about 58.7693764365.

The spelling of 202980 in words is "two hundred two thousand, nine hundred eighty".