314940 has 48 divisors (see below), whose sum is σ = 917280. Its totient is φ = 80640.

The previous prime is 314933. The next prime is 314953. The reversal of 314940 is 49413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650 + ... + 1830.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2³¹⁴⁹⁴⁰ is an apocalyptic number.

314940 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 314940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458640).

314940 is an abundant number, since it is smaller than the sum of its proper divisors (602340).

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

314940 is a wasteful number, since it uses less digits than its factorization.

314940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 314940 is about 561.1951532221. The cubic root of 314940 is about 68.0366008267.

The spelling of 314940 in words is "three hundred fourteen thousand, nine hundred forty".