299484484992 has 384 divisors, whose sum is σ = 1088075289600. Its totient is φ = 76801720320.

The previous prime is 299484484991. The next prime is 299484484997.

299484484992 is a `hidden beast` number, since 2 + 9 + 94 + 8 + 4 + 48 + 499 + 2 = 666.

299484484992 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 299484484992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299484484991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6986248 + ... + 7028984.

It is an arithmetic number, because the mean of its divisors is an integer number (2833529400).

Almost surely, 2^299484484992 is an apocalyptic number.

299484484992 is a gapful number since it is divisible by the number (22) 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 299484484992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544037644800).

299484484992 is an abundant number, since it is smaller than the sum of its proper divisors (788590804608).

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

299484484992 is a wasteful number, since it uses less digits than its factorization.

299484484992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42854 (or 42839 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 299484484992 in words is "two hundred ninety-nine billion, four hundred eighty-four million, four hundred eighty-four thousand, nine hundred ninety-two".