844142400 has 378 divisors, whose sum is σ = 3151009446. Its totient is φ = 214272000.

The previous prime is 844142381. The next prime is 844142471. The reversal of 844142400 is 4241448.

It is a happy number.

844142400 is a `hidden beast` number, since 8 + 4 + 414 + 240 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2214144 + 841928256 = 1488^2 + 29016^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 13838370 + ... + 13838430.

Almost surely, 2^844142400 is an apocalyptic number.

844142400 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 844142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575504723).

844142400 is an abundant number, since it is smaller than the sum of its proper divisors (2306867046).

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

844142400 is a wasteful number, since it uses less digits than its factorization.

844142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 102 counting only the distinct ones).

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

The square root of 844142400 is about 29054.1287943728. The cubic root of 844142400 is about 945.0872515390.

Adding to 844142400 its reverse (4241448), we get a palindrome (848383848).

The spelling of 844142400 in words is "eight hundred forty-four million, one hundred forty-two thousand, four hundred".