314227840 has 64 divisors (see below), whose sum is σ = 783898560. Its totient is φ = 120220672.

The previous prime is 314227819. The next prime is 314227841. The reversal of 314227840 is 48722413.

314227840 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 (64).

It is not an unprimeable number, because it can be changed into a prime (314227841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4047 + ... + 25393.

It is an arithmetic number, because the mean of its divisors is an integer number (12248415).

Almost surely, 2^314227840 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 314227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391949280).

314227840 is an abundant number, since it is smaller than the sum of its proper divisors (469670720).

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

314227840 is a wasteful number, since it uses less digits than its factorization.

314227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21389 (or 21377 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 314227840 is about 17726.4728584115. The cubic root of 314227840 is about 679.8527939714.

The spelling of 314227840 in words is "three hundred fourteen million, two hundred twenty-seven thousand, eight hundred forty".