48844800 has 234 divisors, whose sum is σ = 178252542. Its totient is φ = 12779520.

The previous prime is 48844759. The next prime is 48844823. The reversal of 48844800 is 844884.

It can be written as a sum of positive squares in 3 ways, for example, as 6230016 + 42614784 = 2496^2 + 6528^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 921574 + ... + 921626.

It is an arithmetic number, because the mean of its divisors is an integer number (761763).

Almost surely, 2^48844800 is an apocalyptic number.

48844800 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 48844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89126271).

48844800 is an abundant number, since it is smaller than the sum of its proper divisors (129407742).

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

48844800 is a wasteful number, since it uses less digits than its factorization.

48844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 63 counting only the distinct ones).

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

The square root of 48844800 is about 6988.9054937093. The cubic root of 48844800 is about 365.5438193643.

The spelling of 48844800 in words is "forty-eight million, eight hundred forty-four thousand, eight hundred".