314346800 has 60 divisors (see below), whose sum is σ = 756960480. Its totient is φ = 125448960.

The previous prime is 314346787. The next prime is 314346827. The reversal of 314346800 is 8643413.

314346800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 287054 + ... + 288146.

It is an arithmetic number, because the mean of its divisors is an integer number (12616008).

Almost surely, 2^314346800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314346800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378480240).

314346800 is an abundant number, since it is smaller than the sum of its proper divisors (442613680).

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

314346800 is a wasteful number, since it uses less digits than its factorization.

314346800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 314346800 is about 17729.8279743488. The cubic root of 314346800 is about 679.9385757666.

The spelling of 314346800 in words is "three hundred fourteen million, three hundred forty-six thousand, eight hundred".