8400444800 has 96 divisors (see below), whose sum is σ = 22638339000. Its totient is φ = 3054694400.

The previous prime is 8400444799. The next prime is 8400444817. The reversal of 8400444800 is 84440048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84125 + ... + 154524.

Almost surely, 2^8400444800 is an apocalyptic number.

8400444800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8400444800 is an abundant number, since it is smaller than the sum of its proper divisors (14237894200).

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

8400444800 is a wasteful number, since it uses less digits than its factorization.

8400444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238684 (or 238667 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 8400444800 is about 91653.9404499337. The cubic root of 8400444800 is about 2032.8285934011.

Adding to 8400444800 its reverse (84440048), we get a palindrome (8484884848).

The spelling of 8400444800 in words is "eight billion, four hundred million, four hundred forty-four thousand, eight hundred".