314014400 has 252 divisors, whose sum is σ = 940533552. Its totient is φ = 101038080.

The previous prime is 314014399. The next prime is 314014411. The reversal of 314014400 is 4410413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5924774 + ... + 5924826.

It is an arithmetic number, because the mean of its divisors is an integer number (3732276).

Almost surely, 2^314014400 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 314014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470266776).

314014400 is an abundant number, since it is smaller than the sum of its proper divisors (626519152).

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

314014400 is a wasteful number, since it uses less digits than its factorization.

314014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 314014400 is about 17720.4514615176. The cubic root of 314014400 is about 679.6988285688.

Adding to 314014400 its reverse (4410413), we get a palindrome (318424813).

The spelling of 314014400 in words is "three hundred fourteen million, fourteen thousand, four hundred".