314520444 has 72 divisors (see below), whose sum is σ = 925797600. Its totient is φ = 88163712.

The previous prime is 314520439. The next prime is 314520473. The reversal of 314520444 is 444025413.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1582 + ... + 25130.

It is an arithmetic number, because the mean of its divisors is an integer number (12858300).

Almost surely, 2^314520444 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 314520444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462898800).

314520444 is an abundant number, since it is smaller than the sum of its proper divisors (611277156).

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

314520444 is a wasteful number, since it uses less digits than its factorization.

314520444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23619 (or 23614 counting only the distinct ones).

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

The square root of 314520444 is about 17734.7242436977. The cubic root of 314520444 is about 680.0637512318.

Adding to 314520444 its reverse (444025413), we get a palindrome (758545857).

The spelling of 314520444 in words is "three hundred fourteen million, five hundred twenty thousand, four hundred forty-four".