48588800 has 144 divisors (see below), whose sum is σ = 131515020. Its totient is φ = 17694720.

The previous prime is 48588797. The next prime is 48588829. The reversal of 48588800 is 888584.

48588800 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 6 ways, for example, as 10445824 + 38142976 = 3232^2 + 6176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 665564 + ... + 665636.

Almost surely, 2^48588800 is an apocalyptic number.

48588800 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 48588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65757510).

48588800 is an abundant number, since it is smaller than the sum of its proper divisors (82926220).

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

48588800 is a wasteful number, since it uses less digits than its factorization.

48588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 41.

The square root of 48588800 is about 6970.5666914534. The cubic root of 48588800 is about 364.9040843863.

The spelling of 48588800 in words is "forty-eight million, five hundred eighty-eight thousand, eight hundred".