48711600 has 180 divisors, whose sum is σ = 193291696. Its totient is φ = 11128320.

The previous prime is 48711581. The next prime is 48711617. The reversal of 48711600 is 611784.

It is a happy number.

48711600 is a `hidden beast` number, since 48 + 7 + 11 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24234 + ... + 26166.

Almost surely, 2^48711600 is an apocalyptic number.

48711600 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 48711600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96645848).

48711600 is an abundant number, since it is smaller than the sum of its proper divisors (144580096).

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

48711600 is a wasteful number, since it uses less digits than its factorization.

48711600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 48711600 is about 6979.3695990397. The cubic root of 48711600 is about 365.2112369563.

The spelling of 48711600 in words is "forty-eight million, seven hundred eleven thousand, six hundred".