48044800 has 54 divisors (see below), whose sum is σ = 118934228. Its totient is φ = 19215360.

The previous prime is 48044767. The next prime is 48044807. The reversal of 48044800 is 844084.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (48044807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2647 + ... + 10153.

Almost surely, 2^48044800 is an apocalyptic number.

48044800 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 48044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59467114).

48044800 is an abundant number, since it is smaller than the sum of its proper divisors (70889428).

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

48044800 is an equidigital number, since it uses as much as digits as its factorization.

48044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7533 (or 7514 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 48044800 is about 6931.4356377305. The cubic root of 48044800 is about 363.5371486901.

Adding to 48044800 its reverse (844084), we get a palindrome (48888884).

It can be divided in two parts, 4804 and 4800, that added together give a square (9604 = 98²).

The spelling of 48044800 in words is "forty-eight million, forty-four thousand, eight hundred".