299226400 has 144 divisors (see below), whose sum is σ = 819322560. Its totient is φ = 105753600.

The previous prime is 299226397. The next prime is 299226413. The reversal of 299226400 is 4622992.

It is a happy number.

299226400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325141 + ... + 326059.

It is an arithmetic number, because the mean of its divisors is an integer number (5689740).

Almost surely, 2^299226400 is an apocalyptic number.

299226400 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 299226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409661280).

299226400 is an abundant number, since it is smaller than the sum of its proper divisors (520096160).

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

299226400 is a wasteful number, since it uses less digits than its factorization.

299226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 299226400 is about 17298.1617520475. The cubic root of 299226400 is about 668.8570399601.

It can be divided in two parts, 2992 and 26400, that added together give a palindrome (29392).

The spelling of 299226400 in words is "two hundred ninety-nine million, two hundred twenty-six thousand, four hundred".