714984000 has 224 divisors, whose sum is σ = 2439570432. Its totient is φ = 184512000.

The previous prime is 714983999. The next prime is 714984013. The reversal of 714984000 is 489417.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=620.

It is a super-2 number, since 2×714984000² = 1022404240512000000, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 23063985 + ... + 23064015.

Almost surely, 2^714984000 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 714984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219785216).

714984000 is an abundant number, since it is smaller than the sum of its proper divisors (1724586432).

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

714984000 is an frugal number, since it uses more digits than its factorization.

714984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 714984000 is about 26739.1847295313. The cubic root of 714984000 is about 894.1947335906.

The spelling of 714984000 in words is "seven hundred fourteen million, nine hundred eighty-four thousand".