314847408 has 80 divisors (see below), whose sum is σ = 843247616. Its totient is φ = 101122560.

The previous prime is 314847397. The next prime is 314847409. The reversal of 314847408 is 804748413.

314847408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (314847409) 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, 679785 + ... + 680247.

Almost surely, 2^314847408 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 314847408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421623808).

314847408 is an abundant number, since it is smaller than the sum of its proper divisors (528400208).

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

314847408 is a wasteful number, since it uses less digits than its factorization.

314847408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 314847408 is about 17743.9400359672. The cubic root of 314847408 is about 680.2993261225.

The spelling of 314847408 in words is "three hundred fourteen million, eight hundred forty-seven thousand, four hundred eight".