314122440 has 128 divisors (see below), whose sum is σ = 997401600. Its totient is φ = 78923520.

The previous prime is 314122427. The next prime is 314122441. The reversal of 314122440 is 44221413.

It is not an unprimeable number, because it can be changed into a prime (314122441) 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 31 ways as a sum of consecutive naturals, for example, 708859 + ... + 709301.

It is an arithmetic number, because the mean of its divisors is an integer number (7792200).

Almost surely, 2^314122440 is an apocalyptic number.

314122440 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 314122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498700800).

314122440 is an abundant number, since it is smaller than the sum of its proper divisors (683279160).

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

314122440 is a wasteful number, since it uses less digits than its factorization.

314122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 314122440 is about 17723.4996544136. The cubic root of 314122440 is about 679.7767721717.

Adding to 314122440 its reverse (44221413), we get a palindrome (358343853).

The spelling of 314122440 in words is "three hundred fourteen million, one hundred twenty-two thousand, four hundred forty".