714612000 has 384 divisors, whose sum is σ = 2581383168. Its totient is φ = 172032000.

The previous prime is 714611987. The next prime is 714612007. The reversal of 714612000 is 216417.

It is not an unprimeable number, because it can be changed into a prime (714612007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6323944 + ... + 6324056.

It is an arithmetic number, because the mean of its divisors is an integer number (6722352).

Almost surely, 2^714612000 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 714612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290691584).

714612000 is an abundant number, since it is smaller than the sum of its proper divisors (1866771168).

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

714612000 is a wasteful number, since it uses less digits than its factorization.

714612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 714612000 is about 26732.2277410619. The cubic root of 714612000 is about 894.0396260882.

Adding to 714612000 its reverse (216417), we get a palindrome (714828417).

The spelling of 714612000 in words is "seven hundred fourteen million, six hundred twelve thousand".