301980 has 48 divisors (see below), whose sum is σ = 967680. Its totient is φ = 68928.

The previous prime is 301979. The next prime is 301991. The reversal of 301980 is 89103.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2³⁰¹⁹⁸⁰ is an apocalyptic number.

301980 is a gapful number since it is divisible by the number (30) 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 301980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

301980 is an abundant number, since it is smaller than the sum of its proper divisors (665700).

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

301980 is a wasteful number, since it uses less digits than its factorization.

301980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 301980 is about 549.5270693969. The cubic root of 301980 is about 67.0902474345.

The spelling of 301980 in words is "three hundred one thousand, nine hundred eighty".