298944000 has 320 divisors, whose sum is σ = 1110732480. Its totient is φ = 79257600.

The previous prime is 298943993. The next prime is 298944047. The reversal of 298944000 is 449892.

It is a happy number.

298944000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727914 + ... + 1728086.

It is an arithmetic number, because the mean of its divisors is an integer number (3471039).

Almost surely, 2^298944000 is an apocalyptic number.

298944000 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 298944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555366240).

298944000 is an abundant number, since it is smaller than the sum of its proper divisors (811788480).

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

298944000 is an equidigital number, since it uses as much as digits as its factorization.

298944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 298944000 is about 17289.9971081548. The cubic root of 298944000 is about 668.6465586651.

The spelling of 298944000 in words is "two hundred ninety-eight million, nine hundred forty-four thousand".