314319900 has 72 divisors (see below), whose sum is σ = 912424240. Its totient is φ = 83543040.

The previous prime is 314319877. The next prime is 314319913. The reversal of 314319900 is 9913413.

314319900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99546 + ... + 102654.

Almost surely, 2^314319900 is an apocalyptic number.

314319900 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 314319900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456212120).

314319900 is an abundant number, since it is smaller than the sum of its proper divisors (598104340).

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

314319900 is a wasteful number, since it uses less digits than its factorization.

314319900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 314319900 is about 17729.0693495175. The cubic root of 314319900 is about 679.9191801294.

The spelling of 314319900 in words is "three hundred fourteen million, three hundred nineteen thousand, nine hundred".