314325120 has 128 divisors (see below), whose sum is σ = 1034426880. Its totient is φ = 81100800.

The previous prime is 314325119. The next prime is 314325133. The reversal of 314325120 is 21523413.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 56880 + ... + 62160.

It is an arithmetic number, because the mean of its divisors is an integer number (8081460).

Almost surely, 2^314325120 is an apocalyptic number.

314325120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517213440).

314325120 is an abundant number, since it is smaller than the sum of its proper divisors (720101760).

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

314325120 is a wasteful number, since it uses less digits than its factorization.

314325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5322 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 314325120 is about 17729.2165647555. The cubic root of 314325120 is about 679.9229439790.

Adding to 314325120 its reverse (21523413), we get a palindrome (335848533).

The spelling of 314325120 in words is "three hundred fourteen million, three hundred twenty-five thousand, one hundred twenty".