309468 has 48 divisors (see below), whose sum is σ = 804384. Its totient is φ = 92160.

The previous prime is 309461. The next prime is 309469. The reversal of 309468 is 864903.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

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 309468.

It is not an unprimeable number, because it can be changed into a prime (309461) by changing a digit.

309468 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, 7528 + ... + 7568.

It is an arithmetic number, because the mean of its divisors is an integer number (16758).

2³⁰⁹⁴⁶⁸ 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 309468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402192).

309468 is an abundant number, since it is smaller than the sum of its proper divisors (494916).

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

309468 is a wasteful number, since it uses less digits than its factorization.

309468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 309468 is about 556.2984810333. The cubic root of 309468 is about 67.6402570573.

It can be divided in two parts, 309 and 468, that added together give a palindrome (777).

The spelling of 309468 in words is "three hundred nine thousand, four hundred sixty-eight".