314793900 has 216 divisors, whose sum is σ = 1066338000. Its totient is φ = 77414400.

The previous prime is 314793887. The next prime is 314793929. The reversal of 314793900 is 9397413.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 700876 + ... + 701324.

It is an arithmetic number, because the mean of its divisors is an integer number (4936750).

Almost surely, 2^314793900 is an apocalyptic number.

314793900 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 314793900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533169000).

314793900 is an abundant number, since it is smaller than the sum of its proper divisors (751544100).

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

314793900 is a wasteful number, since it uses less digits than its factorization.

314793900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 314793900 is about 17742.4321895280. The cubic root of 314793900 is about 680.2607852105.

The spelling of 314793900 in words is "three hundred fourteen million, seven hundred ninety-three thousand, nine hundred".