299961144 has 288 divisors, whose sum is σ = 1015822080. Its totient is φ = 82627776.

The previous prime is 299961143. The next prime is 299961149. The reversal of 299961144 is 441169992.

299961144 is a `hidden beast` number, since 29 + 9 + 9 + 611 + 4 + 4 = 666.

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 299961144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299961143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4476999 + ... + 4477065.

It is an arithmetic number, because the mean of its divisors is an integer number (3527160).

Almost surely, 2^299961144 is an apocalyptic number.

299961144 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 299961144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507911040).

299961144 is an abundant number, since it is smaller than the sum of its proper divisors (715860936).

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

299961144 is a wasteful number, since it uses less digits than its factorization.

299961144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

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

The square root of 299961144 is about 17319.3863632636. The cubic root of 299961144 is about 669.4040471824.

The spelling of 299961144 in words is "two hundred ninety-nine million, nine hundred sixty-one thousand, one hundred forty-four".