314231200 has 72 divisors (see below), whose sum is σ = 774911340. Its totient is φ = 124416000.

The previous prime is 314231189. The next prime is 314231231. The reversal of 314231200 is 2132413.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 237283216 + 76947984 = 15404^2 + 8772^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 78856 + ... + 82744.

Almost surely, 2^314231200 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 314231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387455670).

314231200 is an abundant number, since it is smaller than the sum of its proper divisors (460680140).

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

314231200 is a wasteful number, since it uses less digits than its factorization.

314231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 314231200 is about 17726.5676316652. The cubic root of 314231200 is about 679.8552171572.

Adding to 314231200 its reverse (2132413), we get a palindrome (316363613).

It can be divided in two parts, 31423 and 1200, that added together give a palindrome (32623).

The spelling of 314231200 in words is "three hundred fourteen million, two hundred thirty-one thousand, two hundred".