309980 has 24 divisors (see below), whose sum is σ = 710640. Its totient is φ = 112640.

The previous prime is 309977. The next prime is 309989. The reversal of 309980 is 89903.

309980 = T₃₆ + T₃₇ + ... + T₁₂₃.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309980.

It is not an unprimeable number, because it can be changed into a prime (309989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485 + ... + 924.

It is an arithmetic number, because the mean of its divisors is an integer number (29610).

2³⁰⁹⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

309980 is an abundant number, since it is smaller than the sum of its proper divisors (400660).

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

309980 is a wasteful number, since it uses less digits than its factorization.

309980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 309980 is about 556.7584754631. The cubic root of 309980 is about 67.6775390275.

The spelling of 309980 in words is "three hundred nine thousand, nine hundred eighty".