314404200 has 384 divisors, whose sum is σ = 1214208000. Its totient is φ = 74131200.

The previous prime is 314404183. The next prime is 314404231. The reversal of 314404200 is 2404413.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3979761 + ... + 3979839.

It is an arithmetic number, because the mean of its divisors is an integer number (3162000).

Almost surely, 2^314404200 is an apocalyptic number.

314404200 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 314404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607104000).

314404200 is an abundant number, since it is smaller than the sum of its proper divisors (899803800).

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

314404200 is a wasteful number, since it uses less digits than its factorization.

314404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 314404200 is about 17731.4466414898. The cubic root of 314404200 is about 679.9799590403.

Adding to 314404200 its reverse (2404413), we get a palindrome (316808613).

The spelling of 314404200 in words is "three hundred fourteen million, four hundred four thousand, two hundred".