314400000 has 216 divisors, whose sum is σ = 1053870048. Its totient is φ = 83200000.

The previous prime is 314399963. The next prime is 314400007. The reversal of 314400000 is 4413.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314400007) by changing a digit.

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, 2399935 + ... + 2400065.

It is an arithmetic number, because the mean of its divisors is an integer number (4879028).

Almost surely, 2^314400000 is an apocalyptic number.

314400000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526935024).

314400000 is an abundant number, since it is smaller than the sum of its proper divisors (739470048).

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

314400000 is an frugal number, since it uses more digits than its factorization.

314400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 314400000 is about 17731.3282074412. The cubic root of 314400000 is about 679.9769311667.

Adding to 314400000 its reverse (4413), we get a palindrome (314404413).

The spelling of 314400000 in words is "three hundred fourteen million, four hundred thousand".