314138448 has 60 divisors (see below), whose sum is σ = 946784020. Its totient is φ = 96657408.

The previous prime is 314138443. The next prime is 314138467. The reversal of 314138448 is 844831413.

It can be written as a sum of positive squares in 2 ways, for example, as 100160064 + 213978384 = 10008^2 + 14628^2 .

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314138443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82033 + ... + 85776.

Almost surely, 2^314138448 is an apocalyptic number.

It is an amenable number.

314138448 is an abundant number, since it is smaller than the sum of its proper divisors (632645572).

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

314138448 is a wasteful number, since it uses less digits than its factorization.

314138448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167836 (or 167827 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 314138448 is about 17723.9512524719. The cubic root of 314138448 is about 679.7883193481.

The spelling of 314138448 in words is "three hundred fourteen million, one hundred thirty-eight thousand, four hundred forty-eight".