314220040 has 64 divisors (see below), whose sum is σ = 727833600. Its totient is φ = 122034432.

The previous prime is 314220037. The next prime is 314220041. The reversal of 314220040 is 40022413.

It is a junction number, because it is equal to n+sod(n) for n = 314219996 and 314220023.

It is not an unprimeable number, because it can be changed into a prime (314220041) 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 15 ways as a sum of consecutive naturals, for example, 217641 + ... + 219079.

It is an arithmetic number, because the mean of its divisors is an integer number (11372400).

Almost surely, 2^314220040 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 314220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363916800).

314220040 is an abundant number, since it is smaller than the sum of its proper divisors (413613560).

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

314220040 is a wasteful number, since it uses less digits than its factorization.

314220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 314220040 is about 17726.2528471192. The cubic root of 314220040 is about 679.8471686523.

Adding to 314220040 its reverse (40022413), we get a palindrome (354242453).

The spelling of 314220040 in words is "three hundred fourteen million, two hundred twenty thousand, forty".