314444520 has 96 divisors (see below), whose sum is σ = 1100572200. Its totient is φ = 77400576.

The previous prime is 314444513. The next prime is 314444521. The reversal of 314444520 is 25444413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 274830084 + 39614436 = 16578^2 + 6294^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314444521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28915 + ... + 38274.

Almost surely, 2^314444520 is an apocalyptic number.

314444520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314444520 is an abundant number, since it is smaller than the sum of its proper divisors (786127680).

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

314444520 is a wasteful number, since it uses less digits than its factorization.

314444520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67219 (or 67212 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 314444520 is about 17732.5835681099. The cubic root of 314444520 is about 680.0090252551.

Adding to 314444520 its reverse (25444413), we get a palindrome (339888933).

The spelling of 314444520 in words is "three hundred fourteen million, four hundred forty-four thousand, five hundred twenty".