314360 has 32 divisors (see below), whose sum is σ = 734400. Its totient is φ = 120960.

The previous prime is 314359. The next prime is 314399. The reversal of 314360 is 63413.

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 314360.

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 7 ways as a sum of consecutive naturals, for example, 1025 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (22950).

2³¹⁴³⁶⁰ 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 314360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367200).

314360 is an abundant number, since it is smaller than the sum of its proper divisors (420040).

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

314360 is a wasteful number, since it uses less digits than its factorization.

314360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 314360 is about 560.6781608017. The cubic root of 314360 is about 67.9948092924.

Adding to 314360 its reverse (63413), we get a palindrome (377773).

The spelling of 314360 in words is "three hundred fourteen thousand, three hundred sixty".