844401600 has 252 divisors, whose sum is σ = 3430355344. Its totient is φ = 192983040.

The previous prime is 844401559. The next prime is 844401619. The reversal of 844401600 is 6104448.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96612 + ... + 104988.

Almost surely, 2^844401600 is an apocalyptic number.

844401600 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 844401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715177672).

844401600 is an abundant number, since it is smaller than the sum of its proper divisors (2585953744).

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

844401600 is a wasteful number, since it uses less digits than its factorization.

844401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8412 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 844401600 is about 29058.5890916954. The cubic root of 844401600 is about 945.1839735877.

The spelling of 844401600 in words is "eight hundred forty-four million, four hundred one thousand, six hundred".