298381824 has 240 divisors, whose sum is σ = 985296312. Its totient is φ = 86114304.

The previous prime is 298381823. The next prime is 298381843. The reversal of 298381824 is 428183892.

It can be written as a sum of positive squares in 4 ways, for example, as 290361600 + 8020224 = 17040^2 + 2832^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 298381824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (298381823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018222 + ... + 1018514.

Almost surely, 2^298381824 is an apocalyptic number.

298381824 is a gapful number since it is divisible by the number (24) 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 298381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492648156).

298381824 is an abundant number, since it is smaller than the sum of its proper divisors (686914488).

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

298381824 is a wasteful number, since it uses less digits than its factorization.

298381824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 328 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 298381824 is about 17273.7321966042. The cubic root of 298381824 is about 668.2271568998.

The spelling of 298381824 in words is "two hundred ninety-eight million, three hundred eighty-one thousand, eight hundred twenty-four".