309414 has 32 divisors (see below), whose sum is σ = 725760. Its totient is φ = 86112.

The previous prime is 309403. The next prime is 309433. The reversal of 309414 is 414903.

309414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an alternating number because its digits alternate between odd and even.

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 309414.

It is an unprimeable number.

309414 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, 2157 + ... + 2295.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2³⁰⁹⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

309414 is an abundant number, since it is smaller than the sum of its proper divisors (416346).

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

309414 is a wasteful number, since it uses less digits than its factorization.

309414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 309414 is about 556.2499438202. The cubic root of 309414 is about 67.6363225780.

The spelling of 309414 in words is "three hundred nine thousand, four hundred fourteen".