314040220 has 48 divisors (see below), whose sum is σ = 712994688. Its totient is φ = 115499520.

The previous prime is 314040203. The next prime is 314040239. The reversal of 314040220 is 22040413.

It is a junction number, because it is equal to n+sod(n) for n = 314040194 and 314040203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68232 + ... + 72688.

It is an arithmetic number, because the mean of its divisors is an integer number (14854056).

Almost surely, 2^314040220 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 314040220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356497344).

314040220 is an abundant number, since it is smaller than the sum of its proper divisors (398954468).

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

314040220 is a wasteful number, since it uses less digits than its factorization.

314040220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750 (or 4748 counting only the distinct ones).

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

The square root of 314040220 is about 17721.1799832855. The cubic root of 314040220 is about 679.7174575901.

Adding to 314040220 its reverse (22040413), we get a palindrome (336080633).

The spelling of 314040220 in words is "three hundred fourteen million, forty thousand, two hundred twenty".