48804800 has 168 divisors, whose sum is σ = 136062720. Its totient is φ = 17075200.

The previous prime is 48804793. The next prime is 48804803. The reversal of 48804800 is 840884.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48804803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 827171 + ... + 827229.

Almost surely, 2^48804800 is an apocalyptic number.

48804800 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 48804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68031360).

48804800 is an abundant number, since it is smaller than the sum of its proper divisors (87257920).

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

48804800 is a wasteful number, since it uses less digits than its factorization.

48804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 48804800 is about 6986.0432291820. The cubic root of 48804800 is about 365.4440083578. Note that the first 3 decimals are identical.

The spelling of 48804800 in words is "forty-eight million, eight hundred four thousand, eight hundred".