314330420 has 48 divisors (see below), whose sum is σ = 712575360. Its totient is φ = 116113536.

The previous prime is 314330417. The next prime is 314330453. The reversal of 314330420 is 24033413.

It is a super-2 number, since 2×314330420² = 197607225874752800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 314330392 and 314330401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1559 + ... + 25121.

It is an arithmetic number, because the mean of its divisors is an integer number (14845320).

Almost surely, 2^314330420 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 314330420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356287680).

314330420 is an abundant number, since it is smaller than the sum of its proper divisors (398244940).

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

314330420 is a wasteful number, since it uses less digits than its factorization.

314330420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23624 (or 23622 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 314330420 is about 17729.3660349151. The cubic root of 314330420 is about 679.9267654695.

Adding to 314330420 its reverse (24033413), we get a palindrome (338363833).

The spelling of 314330420 in words is "three hundred fourteen million, three hundred thirty thousand, four hundred twenty".