314763840 has 224 divisors, whose sum is σ = 1176284160. Its totient is φ = 78962688.

The previous prime is 314763821. The next prime is 314763851. The reversal of 314763840 is 48367413.

314763840 is a `hidden beast` number, since 3 + 14 + 7 + 638 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 314763795 and 314763804.

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 31 ways as a sum of consecutive naturals, for example, 145809 + ... + 147951.

Almost surely, 2^314763840 is an apocalyptic number.

314763840 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 314763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588142080).

314763840 is an abundant number, since it is smaller than the sum of its proper divisors (861520320).

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

314763840 is a wasteful number, since it uses less digits than its factorization.

314763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2170 counting only the distinct ones).

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

The square root of 314763840 is about 17741.5850475655. The cubic root of 314763840 is about 680.2391315824.

The spelling of 314763840 in words is "three hundred fourteen million, seven hundred sixty-three thousand, eight hundred forty".