312444 has 48 divisors (see below), whose sum is σ = 887040. Its totient is φ = 94320.

The previous prime is 312427. The next prime is 312451. The reversal of 312444 is 444213.

312444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3¹¹ + 1 + 4³ + 2¹⁷ + 4³ + 4⁶ .

312444 is a modest number, since divided by 444 gives 312 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057 + ... + 1319.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2³¹²⁴⁴⁴ 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 312444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

312444 is an abundant number, since it is smaller than the sum of its proper divisors (574596).

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

312444 is a wasteful number, since it uses less digits than its factorization.

312444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 312444 is about 558.9669042081. The cubic root of 312444 is about 67.8563866424.

Adding to 312444 its reverse (444213), we get a palindrome (756657).

Subtracting 312444 from its reverse (444213), we obtain a square (131769 = 363²).

The spelling of 312444 in words is "three hundred twelve thousand, four hundred forty-four", and thus it is an iban number.