297984960 has 448 divisors, whose sum is σ = 1297228800. Its totient is φ = 62705664.

The previous prime is 297984949. The next prime is 297984977. The reversal of 297984960 is 69489792.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 297984897 and 297984906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786051 + ... + 786429.

It is an arithmetic number, because the mean of its divisors is an integer number (2895600).

Almost surely, 2^297984960 is an apocalyptic number.

297984960 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 297984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648614400).

297984960 is an abundant number, since it is smaller than the sum of its proper divisors (999243840).

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

297984960 is a wasteful number, since it uses less digits than its factorization.

297984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 297984960 is about 17262.2408742318. The cubic root of 297984960 is about 667.9307660088.

The spelling of 297984960 in words is "two hundred ninety-seven million, nine hundred eighty-four thousand, nine hundred sixty".