8438400 has 144 divisors (see below), whose sum is σ = 30212910. Its totient is φ = 2242560.

The previous prime is 8438399. The next prime is 8438407. The reversal of 8438400 is 48348.

It can be written as a sum of positive squares in 3 ways, for example, as 7884864 + 553536 = 2808^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8438407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28654 + ... + 28946.

Almost surely, 2^8438400 is an apocalyptic number.

8438400 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 8438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15106455).

8438400 is an abundant number, since it is smaller than the sum of its proper divisors (21774510).

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

8438400 is a wasteful number, since it uses less digits than its factorization.

8438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

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

The square root of 8438400 is about 2904.8924248584. The cubic root of 8438400 is about 203.5885594342.

The spelling of 8438400 in words is "eight million, four hundred thirty-eight thousand, four hundred".