314401300 has 72 divisors (see below), whose sum is σ = 701814456. Its totient is φ = 122204160.

The previous prime is 314401273. The next prime is 314401331. The reversal of 314401300 is 3104413.

It can be written as a sum of positive squares in 12 ways, for example, as 99720196 + 214681104 = 9986^2 + 14652^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 725884 + ... + 726316.

It is an arithmetic number, because the mean of its divisors is an integer number (9747423).

Almost surely, 2^314401300 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 314401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350907228).

314401300 is an abundant number, since it is smaller than the sum of its proper divisors (387413156).

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

314401300 is a wasteful number, since it uses less digits than its factorization.

314401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 630 counting only the distinct ones).

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

The square root of 314401300 is about 17731.3648656836. The cubic root of 314401300 is about 679.9778683685.

Adding to 314401300 its reverse (3104413), we get a palindrome (317505713).

The spelling of 314401300 in words is "three hundred fourteen million, four hundred one thousand, three hundred".