314743968 has 480 divisors, whose sum is σ = 1229437440. Its totient is φ = 76515840.

The previous prime is 314743963. The next prime is 314743981. The reversal of 314743968 is 869347413.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314743963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3792055 + ... + 3792137.

It is an arithmetic number, because the mean of its divisors is an integer number (2561328).

Almost surely, 2^314743968 is an apocalyptic number.

314743968 is a gapful number since it is divisible by the number (38) 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 314743968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614718720).

314743968 is an abundant number, since it is smaller than the sum of its proper divisors (914693472).

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

314743968 is a wasteful number, since it uses less digits than its factorization.

314743968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 314743968 is about 17741.0249985732. The cubic root of 314743968 is about 680.2248160917.

The spelling of 314743968 in words is "three hundred fourteen million, seven hundred forty-three thousand, nine hundred sixty-eight".