299894400 has 480 divisors, whose sum is σ = 1205196300. Its totient is φ = 72990720.

The previous prime is 299894383. The next prime is 299894407. The reversal of 299894400 is 4498992.

It can be written as a sum of positive squares in 6 ways, for example, as 23270976 + 276623424 = 4824^2 + 16632^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (299894407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3369556 + ... + 3369644.

Almost surely, 2^299894400 is an apocalyptic number.

299894400 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 299894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602598150).

299894400 is an abundant number, since it is smaller than the sum of its proper divisors (905301900).

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

299894400 is a wasteful number, since it uses less digits than its factorization.

299894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 299894400 is about 17317.4593979602. The cubic root of 299894400 is about 669.3543940647.

The spelling of 299894400 in words is "two hundred ninety-nine million, eight hundred ninety-four thousand, four hundred".