8448818400 has 576 divisors, whose sum is σ = 33822835200. Its totient is φ = 2043532800.

The previous prime is 8448818377. The next prime is 8448818401. The reversal of 8448818400 is 48188448.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8448818401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19245381 + ... + 19245819.

It is an arithmetic number, because the mean of its divisors is an integer number (58720200).

Almost surely, 2^8448818400 is an apocalyptic number.

8448818400 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 8448818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16911417600).

8448818400 is an abundant number, since it is smaller than the sum of its proper divisors (25374016800).

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

8448818400 is a wasteful number, since it uses less digits than its factorization.

8448818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 8448818400 is about 91917.4542728420. The cubic root of 8448818400 is about 2036.7231128004.

The spelling of 8448818400 in words is "eight billion, four hundred forty-eight million, eight hundred eighteen thousand, four hundred".