312444352 has 56 divisors (see below), whose sum is σ = 678850560. Its totient is φ = 141500160.

The previous prime is 312444331. The next prime is 312444361. The reversal of 312444352 is 253444213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 312444352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243649 + ... + 244927.

Almost surely, 2^312444352 is an apocalyptic number.

312444352 is a gapful number since it is divisible by the number (32) 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 312444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339425280).

312444352 is an abundant number, since it is smaller than the sum of its proper divisors (366406208).

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

312444352 is a wasteful number, since it uses less digits than its factorization.

312444352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1639 counting only the distinct ones).

The product of its digits is 11520, while the sum is 28.

The square root of 312444352 is about 17676.0954964607. The cubic root of 312444352 is about 678.5641212478.

Adding to 312444352 its reverse (253444213), we get a palindrome (565888565).

The spelling of 312444352 in words is "three hundred twelve million, four hundred forty-four thousand, three hundred fifty-two".