298965120 has 128 divisors (see below), whose sum is σ = 973520640. Its totient is φ = 78004224.

The previous prime is 298965097. The next prime is 298965127. The reversal of 298965120 is 21569892.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×298965120² = 178760285953228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (298965127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88584 + ... + 91896.

It is an arithmetic number, because the mean of its divisors is an integer number (7605630).

Almost surely, 2^298965120 is an apocalyptic number.

298965120 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 298965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486760320).

298965120 is an abundant number, since it is smaller than the sum of its proper divisors (674555520).

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

298965120 is a wasteful number, since it uses less digits than its factorization.

298965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 298965120 is about 17290.6078551334. The cubic root of 298965120 is about 668.6623046273.

The spelling of 298965120 in words is "two hundred ninety-eight million, nine hundred sixty-five thousand, one hundred twenty".