314020000 has 120 divisors (see below), whose sum is σ = 883292256. Its totient is φ = 107616000.

The previous prime is 314019997. The next prime is 314020001. The reversal of 314020000 is 20413.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (314020001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138879 + ... + 141121.

Almost surely, 2^314020000 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 314020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441646128).

314020000 is an abundant number, since it is smaller than the sum of its proper divisors (569272256).

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

314020000 is an equidigital number, since it uses as much as digits as its factorization.

314020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 314020000 is about 17720.6094703314. The cubic root of 314020000 is about 679.7028690320.

Adding to 314020000 its reverse (20413), we get a palindrome (314040413).

The spelling of 314020000 in words is "three hundred fourteen million, twenty thousand".