8444400 has 120 divisors (see below), whose sum is σ = 28045824. Its totient is φ = 2169600.

The previous prime is 8444363. The next prime is 8444407. The reversal of 8444400 is 44448.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8444407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37087 + ... + 37313.

Almost surely, 2^8444400 is an apocalyptic number.

8444400 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 8444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14022912).

8444400 is an abundant number, since it is smaller than the sum of its proper divisors (19601424).

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

8444400 is a wasteful number, since it uses less digits than its factorization.

8444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 8444400 is about 2905.9249818259. The cubic root of 8444400 is about 203.6368008842.

Adding to 8444400 its product of nonzero digits (2048), we get a palindrome (8446448).

Adding to 8444400 its reverse (44448), we get a palindrome (8488848).

The spelling of 8444400 in words is "eight million, four hundred forty-four thousand, four hundred".