314208000 has 216 divisors, whose sum is σ = 1131648336. Its totient is φ = 83712000.

The previous prime is 314207977. The next prime is 314208007. The reversal of 314208000 is 802413.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314208007) 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 23 ways as a sum of consecutive naturals, for example, 287455 + ... + 288545.

Almost surely, 2^314208000 is an apocalyptic number.

314208000 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 314208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565824168).

314208000 is an abundant number, since it is smaller than the sum of its proper divisors (817440336).

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

314208000 is a wasteful number, since it uses less digits than its factorization.

314208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 314208000 is about 17725.9132345840. The cubic root of 314208000 is about 679.8384852845.

The spelling of 314208000 in words is "three hundred fourteen million, two hundred eight thousand".