309444 has 24 divisors (see below), whose sum is σ = 731808. Its totient is φ = 101760.

The previous prime is 309437. The next prime is 309457. The reversal of 309444 is 444903.

309444 = T₁₆ + T₁₇ + ... + T₁₂₂.

309444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

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, 1164 + ... + 1404.

It is an arithmetic number, because the mean of its divisors is an integer number (30492).

2³⁰⁹⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

309444 is an abundant number, since it is smaller than the sum of its proper divisors (422364).

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

309444 is a wasteful number, since it uses less digits than its factorization.

309444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 309444 is about 556.2769094615. The cubic root of 309444 is about 67.6385084564.

The spelling of 309444 in words is "three hundred nine thousand, four hundred forty-four".