314448 has 20 divisors (see below), whose sum is σ = 812448. Its totient is φ = 104800.

The previous prime is 314441. The next prime is 314453. The reversal of 314448 is 844413.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314448.

It is not an unprimeable number, because it can be changed into a prime (314441) by changing a digit.

314448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3228 + ... + 3323.

2³¹⁴⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

314448 is an abundant number, since it is smaller than the sum of its proper divisors (498000).

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

314448 is a wasteful number, since it uses less digits than its factorization.

314448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562 (or 6556 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 314448 is about 560.7566317040. The cubic root of 314448 is about 68.0011533830.

The spelling of 314448 in words is "three hundred fourteen thousand, four hundred forty-eight".