844808400 has 480 divisors, whose sum is σ = 3321216000. Its totient is φ = 203005440.

The previous prime is 844808399. The next prime is 844808413. The reversal of 844808400 is 4808448.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4719511 + ... + 4719689.

It is an arithmetic number, because the mean of its divisors is an integer number (6919200).

Almost surely, 2^844808400 is an apocalyptic number.

844808400 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 844808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660608000).

844808400 is an abundant number, since it is smaller than the sum of its proper divisors (2476407600).

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

844808400 is a wasteful number, since it uses less digits than its factorization.

844808400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 844808400 is about 29065.5879004709. The cubic root of 844808400 is about 945.3357335683.

The spelling of 844808400 in words is "eight hundred forty-four million, eight hundred eight thousand, four hundred".