48448400 has 240 divisors, whose sum is σ = 157573248. Its totient is φ = 13939200.

The previous prime is 48448397. The next prime is 48448403. The reversal of 48448400 is 484484.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48448397) and next prime (48448403).

It is not an unprimeable number, because it can be changed into a prime (48448403) 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 47 ways as a sum of consecutive naturals, for example, 3726794 + ... + 3726806.

Almost surely, 2^48448400 is an apocalyptic number.

48448400 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 48448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78786624).

48448400 is an abundant number, since it is smaller than the sum of its proper divisors (109124848).

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

48448400 is a wasteful number, since it uses less digits than its factorization.

48448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 48448400 is about 6960.4884886048. The cubic root of 48448400 is about 364.5522751956.

Multiplying 48448400 by its reverse (484484), we get a square (23472474625600 = 4844840²).

48448400 divided by its reverse (484484) gives a square (100 = 10²).

It can be divided in two parts, 484 and 48400, that multiplied together give a square (23425600 = 4840²).

The spelling of 48448400 in words is "forty-eight million, four hundred forty-eight thousand, four hundred".