298948204800 has 648 divisors, whose sum is σ = 1236349243584. Its totient is φ = 67500195840.

The previous prime is 298948204799. The next prime is 298948204813. The reversal of 298948204800 is 8402849892.

298948204800 is a `hidden beast` number, since 2 + 9 + 89 + 4 + 82 + 0 + 480 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33461134 + ... + 33470066.

Almost surely, 2^298948204800 is an apocalyptic number.

298948204800 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 298948204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618174621792).

298948204800 is an abundant number, since it is smaller than the sum of its proper divisors (937401038784).

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

298948204800 is a wasteful number, since it uses less digits than its factorization.

298948204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9055 (or 9033 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 298948204800 in words is "two hundred ninety-eight billion, nine hundred forty-eight million, two hundred four thousand, eight hundred".