298609920 has 486 divisors, whose sum is σ = 1256364018. Its totient is φ = 65286144.

The previous prime is 298609907. The next prime is 298609939. The reversal of 298609920 is 29906892.

It can be written as a sum of positive squares in only one way, i.e., 238887936 + 59721984 = 15456^2 + 7728^2 .

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

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 12983029 + ... + 12983051.

Almost surely, 2^298609920 is an apocalyptic number.

298609920 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 298609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628182009).

298609920 is an abundant number, since it is smaller than the sum of its proper divisors (957754098).

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

298609920 is a wasteful number, since it uses less digits than its factorization.

298609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 298609920 is about 17280.3333301184. Note that the first 5 decimals coincide. The cubic root of 298609920 is about 668.3973874646.

Multiplying 298609920 by its sum of digits (45), we get a square (13437446400 = 115920²).

298609920 divided by its sum of digits (45) gives a square (6635776 = 2576²).

The spelling of 298609920 in words is "two hundred ninety-eight million, six hundred nine thousand, nine hundred twenty".