844214400 has 240 divisors, whose sum is σ = 3116293290. Its totient is φ = 225054720.

The previous prime is 844214383. The next prime is 844214419. The reversal of 844214400 is 4412448.

It is a happy number.

844214400 is a `hidden beast` number, since 8 + 44 + 214 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 752514624 + 91699776 = 27432^2 + 9576^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 257572 + ... + 260828.

Almost surely, 2^844214400 is an apocalyptic number.

844214400 is a gapful number since it is divisible by the number (80) 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 844214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558146645).

844214400 is an abundant number, since it is smaller than the sum of its proper divisors (2272078890).

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

844214400 is a wasteful number, since it uses less digits than its factorization.

844214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 844214400 is about 29055.3678345327. The cubic root of 844214400 is about 945.1141207606.

Adding to 844214400 its reverse (4412448), we get a palindrome (848626848).

The spelling of 844214400 in words is "eight hundred forty-four million, two hundred fourteen thousand, four hundred".