8444054400 has 384 divisors, whose sum is σ = 29323123200. Its totient is φ = 2131599360.

The previous prime is 8444054383. The next prime is 8444054407. The reversal of 8444054400 is 44504448.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8444054407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36873486 + ... + 36873714.

It is an arithmetic number, because the mean of its divisors is an integer number (76362300).

Almost surely, 2^8444054400 is an apocalyptic number.

8444054400 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 8444054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14661561600).

8444054400 is an abundant number, since it is smaller than the sum of its proper divisors (20879068800).

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

8444054400 is a wasteful number, since it uses less digits than its factorization.

8444054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The square root of 8444054400 is about 91891.5360629041. The cubic root of 8444054400 is about 2036.3402279699.

Adding to 8444054400 its reverse (44504448), we get a palindrome (8488558848).

The spelling of 8444054400 in words is "eight billion, four hundred forty-four million, fifty-four thousand, four hundred".