298628400 has 240 divisors, whose sum is σ = 1110516224. Its totient is φ = 67184640.

The previous prime is 298628387. The next prime is 298628401. The reversal of 298628400 is 4826892.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (298628401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 612957 + ... + 613443.

Almost surely, 2^298628400 is an apocalyptic number.

298628400 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 298628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555258112).

298628400 is an abundant number, since it is smaller than the sum of its proper divisors (811887824).

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

298628400 is a wasteful number, since it uses less digits than its factorization.

298628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 298628400 is about 17280.8680337534. The cubic root of 298628400 is about 668.4111754960.

The spelling of 298628400 in words is "two hundred ninety-eight million, six hundred twenty-eight thousand, four hundred".