314220420 has 36 divisors (see below), whose sum is σ = 953135820. Its totient is φ = 83792064.

The previous prime is 314220409. The next prime is 314220443. The reversal of 314220420 is 24022413.

It can be written as a sum of positive squares in 2 ways, for example, as 195105024 + 119115396 = 13968^2 + 10914^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 314220393 and 314220402.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 872655 + ... + 873014.

It is an arithmetic number, because the mean of its divisors is an integer number (26475995).

Almost surely, 2^314220420 is an apocalyptic number.

314220420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314220420 is an abundant number, since it is smaller than the sum of its proper divisors (638915400).

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

314220420 is a wasteful number, since it uses less digits than its factorization.

314220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745684 (or 1745679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 314220420 is about 17726.2635656813. The cubic root of 314220420 is about 679.8474427084.

Adding to 314220420 its reverse (24022413), we get a palindrome (338242833).

The spelling of 314220420 in words is "three hundred fourteen million, two hundred twenty thousand, four hundred twenty".