314840 has 32 divisors (see below), whose sum is σ = 751680. Its totient is φ = 118272.

The previous prime is 314827. The next prime is 314851. The reversal of 314840 is 48413.

314840 = T₄₀ + T₄₁ + ... + T₁₂₄.

314840 = 128² + 129² + ... + 144².

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

314840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (23490).

2³¹⁴⁸⁴⁰ 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 314840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375840).

314840 is an abundant number, since it is smaller than the sum of its proper divisors (436840).

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

314840 is a wasteful number, since it uses less digits than its factorization.

314840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 314840 is about 561.1060505822. The cubic root of 314840 is about 68.0293990525.

The spelling of 314840 in words is "three hundred fourteen thousand, eight hundred forty".