314475280 has 80 divisors (see below), whose sum is σ = 841910400. Its totient is φ = 107006976.

The previous prime is 314475277. The next prime is 314475281. The reversal of 314475280 is 82574413.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (314475281) 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, 74671 + ... + 78769.

It is an arithmetic number, because the mean of its divisors is an integer number (10523880).

Almost surely, 2^314475280 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 314475280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420955200).

314475280 is an abundant number, since it is smaller than the sum of its proper divisors (527435120).

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

314475280 is a wasteful number, since it uses less digits than its factorization.

314475280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 314475280 is about 17733.4508768034. The cubic root of 314475280 is about 680.0311981073.

The spelling of 314475280 in words is "three hundred fourteen million, four hundred seventy-five thousand, two hundred eighty".