314743680 has 192 divisors, whose sum is σ = 1108429920. Its totient is φ = 82268160.

The previous prime is 314743679. The next prime is 314743711. The reversal of 314743680 is 86347413.

314743680 is a `hidden beast` number, since 3 + 147 + 436 + 80 = 666.

314743680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 304765 + ... + 305795.

Almost surely, 2^314743680 is an apocalyptic number.

314743680 is a gapful number since it is divisible by the number (30) 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 314743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554214960).

314743680 is an abundant number, since it is smaller than the sum of its proper divisors (793686240).

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

314743680 is a wasteful number, since it uses less digits than its factorization.

314743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 314743680 is about 17741.0168817912. The cubic root of 314743680 is about 680.2246086164.

The spelling of 314743680 in words is "three hundred fourteen million, seven hundred forty-three thousand, six hundred eighty".