309456 has 60 divisors (see below), whose sum is σ = 992992. Its totient is φ = 88128.

The previous prime is 309437. The next prime is 309457. The reversal of 309456 is 654903.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309457) by changing a digit.

309456 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 11 ways as a sum of consecutive naturals, for example, 855 + ... + 1161.

2³⁰⁹⁴⁵⁶ is an apocalyptic number.

309456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496496).

309456 is an abundant number, since it is smaller than the sum of its proper divisors (683536).

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

309456 is a wasteful number, since it uses less digits than its factorization.

309456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 309456 is about 556.2876953520. The cubic root of 309456 is about 67.6393827681.

The spelling of 309456 in words is "three hundred nine thousand, four hundred fifty-six".