298780560 has 240 divisors, whose sum is σ = 1093148784. Its totient is φ = 72695808.

The previous prime is 298780553. The next prime is 298780583. The reversal of 298780560 is 65087892.

298780560 is a `hidden beast` number, since 2 + 9 + 8 + 7 + 80 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 41370624 + 257409936 = 6432^2 + 16044^2 .

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

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

It is an unprimeable number.

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, 1282204 + ... + 1282436.

Almost surely, 2^298780560 is an apocalyptic number.

298780560 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 298780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546574392).

298780560 is an abundant number, since it is smaller than the sum of its proper divisors (794368224).

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

298780560 is a wasteful number, since it uses less digits than its factorization.

298780560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 298780560 is about 17285.2700297103. The cubic root of 298780560 is about 668.5246813061.

The spelling of 298780560 in words is "two hundred ninety-eight million, seven hundred eighty thousand, five hundred sixty".