314869800 has 192 divisors, whose sum is σ = 1134748800. Its totient is φ = 70732800.

The previous prime is 314869769. The next prime is 314869811. The reversal of 314869800 is 8968413.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255586 + ... + 256814.

It is an arithmetic number, because the mean of its divisors is an integer number (5910150).

Almost surely, 2^314869800 is an apocalyptic number.

314869800 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 314869800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567374400).

314869800 is an abundant number, since it is smaller than the sum of its proper divisors (819879000).

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

314869800 is a wasteful number, since it uses less digits than its factorization.

314869800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 314869800 is about 17744.5710007315. The cubic root of 314869800 is about 680.3154534072.

The spelling of 314869800 in words is "three hundred fourteen million, eight hundred sixty-nine thousand, eight hundred".