48388800 has 168 divisors, whose sum is σ = 168377616. Its totient is φ = 12124160.

The previous prime is 48388787. The next prime is 48388829. The reversal of 48388800 is 888384.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 81304 + ... + 81896.

Almost surely, 2^48388800 is an apocalyptic number.

48388800 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 48388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84188808).

48388800 is an abundant number, since it is smaller than the sum of its proper divisors (119988816).

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

48388800 is a wasteful number, since it uses less digits than its factorization.

48388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 48388800 is about 6956.2058623937. The cubic root of 48388800 is about 364.4027261829.

It can be divided in two parts, 48 and 388800, that multiplied together give a square (18662400 = 4320²).

The spelling of 48388800 in words is "forty-eight million, three hundred eighty-eight thousand, eight hundred".