314760 has 64 divisors (see below), whose sum is σ = 982080. Its totient is φ = 80640.

The previous prime is 314747. The next prime is 314761. The reversal of 314760 is 67413.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314760.

It is not an unprimeable number, because it can be changed into a prime (314761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5130 + ... + 5190.

It is an arithmetic number, because the mean of its divisors is an integer number (15345).

2³¹⁴⁷⁶⁰ is an apocalyptic number.

314760 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 314760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

314760 is an abundant number, since it is smaller than the sum of its proper divisors (667320).

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

314760 is a wasteful number, since it uses less digits than its factorization.

314760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 314760 is about 561.0347582815. The cubic root of 314760 is about 68.0236365351.

The spelling of 314760 in words is "three hundred fourteen thousand, seven hundred sixty".