314494968 has 128 divisors (see below), whose sum is σ = 868734720. Its totient is φ = 94464000.

The previous prime is 314494963. The next prime is 314494981. The reversal of 314494968 is 869494413.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314494963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1252843 + ... + 1253093.

It is an arithmetic number, because the mean of its divisors is an integer number (6786990).

Almost surely, 2^314494968 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 314494968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434367360).

314494968 is an abundant number, since it is smaller than the sum of its proper divisors (554239752).

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

314494968 is a wasteful number, since it uses less digits than its factorization.

314494968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 314494968 is about 17734.0059772179. The cubic root of 314494968 is about 680.0453891271.

The spelling of 314494968 in words is "three hundred fourteen million, four hundred ninety-four thousand, nine hundred sixty-eight".