314440400 has 60 divisors (see below), whose sum is σ = 758990112. Its totient is φ = 125185920.

The previous prime is 314440391. The next prime is 314440403. The reversal of 314440400 is 4044413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314440403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89069 + ... + 92531.

Almost surely, 2^314440400 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 314440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379495056).

314440400 is an abundant number, since it is smaller than the sum of its proper divisors (444549712).

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

314440400 is a wasteful number, since it uses less digits than its factorization.

314440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 314440400 is about 17732.4673974041. The cubic root of 314440400 is about 680.0060553094.

Adding to 314440400 its reverse (4044413), we get a palindrome (318484813).

The spelling of 314440400 in words is "three hundred fourteen million, four hundred forty thousand, four hundred".