309880 has 32 divisors (see below), whose sum is σ = 714240. Its totient is φ = 120960.

The previous prime is 309877. The next prime is 309899. The reversal of 309880 is 88903.

It is a super-2 number, since 2×309880² = 192051228800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2377 + ... + 2503.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2³⁰⁹⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357120).

309880 is an abundant number, since it is smaller than the sum of its proper divisors (404360).

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

309880 is a wasteful number, since it uses less digits than its factorization.

309880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 309880 is about 556.6686626711. The cubic root of 309880 is about 67.6702606205.

The spelling of 309880 in words is "three hundred nine thousand, eight hundred eighty".