298563840 has 288 divisors, whose sum is σ = 1086099840. Its totient is φ = 77635584.

The previous prime is 298563833. The next prime is 298563847. The reversal of 298563840 is 48365892.

298563840 is a `hidden beast` number, since 2 + 9 + 8 + 5 + 638 + 4 + 0 = 666.

298563840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 17279²-1.

It is an interprime number because it is at equal distance from previous prime (298563833) and next prime (298563847).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (298563847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1831599 + ... + 1831761.

It is an arithmetic number, because the mean of its divisors is an integer number (3771180).

Almost surely, 2^298563840 is an apocalyptic number.

298563840 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 298563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543049920).

298563840 is an abundant number, since it is smaller than the sum of its proper divisors (787536000).

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

298563840 is a wasteful number, since it uses less digits than its factorization.

298563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 298563840 is about 17278.9999710631. Note that the first 4 decimals coincide. The cubic root of 298563840 is about 668.3630044407.

The spelling of 298563840 in words is "two hundred ninety-eight million, five hundred sixty-three thousand, eight hundred forty".