314281200 has 240 divisors, whose sum is σ = 1073859840. Its totient is φ = 78397440.

The previous prime is 314281127. The next prime is 314281213. The reversal of 314281200 is 2182413.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 1628304 + ... + 1628496.

It is an arithmetic number, because the mean of its divisors is an integer number (4474416).

Almost surely, 2^314281200 is an apocalyptic number.

314281200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314281200 is the 14475-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314281200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536929920).

314281200 is an abundant number, since it is smaller than the sum of its proper divisors (759578640).

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

314281200 is a wasteful number, since it uses less digits than its factorization.

314281200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 314281200 is about 17727.9778880729. The cubic root of 314281200 is about 679.8912744276.

The spelling of 314281200 in words is "three hundred fourteen million, two hundred eighty-one thousand, two hundred".