297984000 has 224 divisors, whose sum is σ = 1001853216. Its totient is φ = 78643200.

The previous prime is 297983969. The next prime is 297984017. The reversal of 297984000 is 489792.

297984000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 297984000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3071952 + ... + 3072048.

It is an arithmetic number, because the mean of its divisors is an integer number (4472559).

Almost surely, 2^297984000 is an apocalyptic number.

297984000 is a gapful number since it is divisible by the number (20) 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 297984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500926608).

297984000 is an abundant number, since it is smaller than the sum of its proper divisors (703869216).

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

297984000 is an frugal number, since it uses more digits than its factorization.

297984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 297984000 is about 17262.2130678543. The cubic root of 297984000 is about 667.9300487307.

The spelling of 297984000 in words is "two hundred ninety-seven million, nine hundred eighty-four thousand".