48681600 has 192 divisors, whose sum is σ = 175301280. Its totient is φ = 11776000.

The previous prime is 48681571. The next prime is 48681623. The reversal of 48681600 is 618684.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 105370 + ... + 105830.

Almost surely, 2^48681600 is an apocalyptic number.

48681600 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 48681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87650640).

48681600 is an abundant number, since it is smaller than the sum of its proper divisors (126619680).

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

48681600 is a wasteful number, since it uses less digits than its factorization.

48681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 48681600 is about 6977.2200767928. The cubic root of 48681600 is about 365.1362473775.

The spelling of 48681600 in words is "forty-eight million, six hundred eighty-one thousand, six hundred".