8448812400 has 240 divisors, whose sum is σ = 31140213248. Its totient is φ = 1918080000.

The previous prime is 8448812389. The next prime is 8448812401. The reversal of 8448812400 is 42188448.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8448812401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1265070 + ... + 1271730.

Almost surely, 2^8448812400 is an apocalyptic number.

8448812400 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 8448812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15570106624).

8448812400 is an abundant number, since it is smaller than the sum of its proper divisors (22691400848).

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

8448812400 is a wasteful number, since it uses less digits than its factorization.

8448812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6840 (or 6829 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 8448812400 is about 91917.4216348566. The cubic root of 8448812400 is about 2036.7226306682.

The spelling of 8448812400 in words is "eight billion, four hundred forty-eight million, eight hundred twelve thousand, four hundred".