314020420 has 72 divisors (see below), whose sum is σ = 780252480. Its totient is φ = 105819840.

The previous prime is 314020411. The next prime is 314020423. The reversal of 314020420 is 24020413.

It is a junction number, because it is equal to n+sod(n) for n = 314020394 and 314020403.

It is not an unprimeable number, because it can be changed into a prime (314020423) 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 23 ways as a sum of consecutive naturals, for example, 55105 + ... + 60535.

It is an arithmetic number, because the mean of its divisors is an integer number (10836840).

Almost surely, 2^314020420 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 314020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390126240).

314020420 is an abundant number, since it is smaller than the sum of its proper divisors (466232060).

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

314020420 is a wasteful number, since it uses less digits than its factorization.

With its successor (314020421) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (5504).

314020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513 (or 5504 counting only the distinct ones).

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

The square root of 314020420 is about 17720.6213209357. The cubic root of 314020420 is about 679.7031720648.

Adding to 314020420 its reverse (24020413), we get a palindrome (338040833).

The spelling of 314020420 in words is "three hundred fourteen million, twenty thousand, four hundred twenty".