314380620 has 108 divisors (see below), whose sum is σ = 978388320. Its totient is φ = 81711360.

The previous prime is 314380597. The next prime is 314380621. The reversal of 314380620 is 26083413.

It is a happy number.

314380620 is a `hidden beast` number, since 3 + 1 + 4 + 38 + 0 + 620 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314380621) 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 35 ways as a sum of consecutive naturals, for example, 302061 + ... + 303099.

Almost surely, 2^314380620 is an apocalyptic number.

314380620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314380620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489194160).

314380620 is an abundant number, since it is smaller than the sum of its proper divisors (664007700).

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

314380620 is a wasteful number, since it uses less digits than its factorization.

314380620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 314380620 is about 17730.7817086557. The cubic root of 314380620 is about 679.9629593434.

The spelling of 314380620 in words is "three hundred fourteen million, three hundred eighty thousand, six hundred twenty".