314430000 has 200 divisors, whose sum is σ = 1041266688. Its totient is φ = 81696000.

The previous prime is 314429971. The next prime is 314430001. The reversal of 314430000 is 34413.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (314430001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1409889 + ... + 1410111.

Almost surely, 2^314430000 is an apocalyptic number.

314430000 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 314430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520633344).

314430000 is an abundant number, since it is smaller than the sum of its proper divisors (726836688).

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

314430000 is a wasteful number, since it uses less digits than its factorization.

314430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 314430000 is about 17732.1741475771. The cubic root of 314430000 is about 679.9985582438.

Adding to 314430000 its reverse (34413), we get a palindrome (314464413).

The spelling of 314430000 in words is "three hundred fourteen million, four hundred thirty thousand".