48400084800 has 252 divisors, whose sum is σ = 176676607276. Its totient is φ = 12557721600.

The previous prime is 48400084783. The next prime is 48400084801. The reversal of 48400084800 is 848000484.

48400084800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6725312064 + 41674772736 = 82008^2 + 204144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48400084801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487380 + ... + 578220.

Almost surely, 2^48400084800 is an apocalyptic number.

48400084800 is a gapful number since it is divisible by the number (40) 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 48400084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88338303638).

48400084800 is an abundant number, since it is smaller than the sum of its proper divisors (128276522476).

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

48400084800 is a wasteful number, since it uses less digits than its factorization.

48400084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90906 (or 90888 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 48400084800 in words is "forty-eight billion, four hundred million, eighty-four thousand, eight hundred".