314350400 has 336 divisors, whose sum is σ = 1015934976. Its totient is φ = 92897280.

The previous prime is 314350303. The next prime is 314350427. The reversal of 314350400 is 4053413.

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

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 47 ways as a sum of consecutive naturals, for example, 2475137 + ... + 2475263.

It is an arithmetic number, because the mean of its divisors is an integer number (3023616).

Almost surely, 2^314350400 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 314350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507967488).

314350400 is an abundant number, since it is smaller than the sum of its proper divisors (701584576).

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

314350400 is a wasteful number, since it uses less digits than its factorization.

314350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 314350400 is about 17729.9294978858. The cubic root of 314350400 is about 679.9411713813.

The spelling of 314350400 in words is "three hundred fourteen million, three hundred fifty thousand, four hundred".