312284448 has 108 divisors (see below), whose sum is σ = 1033094790. Its totient is φ = 89220096.

The previous prime is 312284443. The next prime is 312284473. The reversal of 312284448 is 844482213.

It can be written as a sum of positive squares in only one way, i.e., 187470864 + 124813584 = 13692^2 + 11172^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (312284443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3048 + ... + 25176.

Almost surely, 2^312284448 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 312284448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516547395).

312284448 is an abundant number, since it is smaller than the sum of its proper divisors (720810342).

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

312284448 is a wasteful number, since it uses less digits than its factorization.

312284448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22159 (or 22141 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 312284448 is about 17671.5717467349. The cubic root of 312284448 is about 678.4483420888.

The spelling of 312284448 in words is "three hundred twelve million, two hundred eighty-four thousand, four hundred forty-eight".