312456 has 32 divisors (see below), whose sum is σ = 800640. Its totient is φ = 101568.

The previous prime is 312451. The next prime is 312469. The reversal of 312456 is 654213.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (312451) by changing a digit.

312456 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 7 ways as a sum of consecutive naturals, for example, 990 + ... + 1266.

It is an arithmetic number, because the mean of its divisors is an integer number (25020).

2³¹²⁴⁵⁶ 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 312456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400320).

312456 is an abundant number, since it is smaller than the sum of its proper divisors (488184).

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

312456 is a wasteful number, since it uses less digits than its factorization.

312456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 312456 is about 558.9776381932. The cubic root of 312456 is about 67.8572553487.

Adding to 312456 its reverse (654213), we get a palindrome (966669).

The spelling of 312456 in words is "three hundred twelve thousand, four hundred fifty-six".