48795600 has 240 divisors, whose sum is σ = 184635008. Its totient is φ = 10782720.

The previous prime is 48795599. The next prime is 48795613. The reversal of 48795600 is 659784.

48795600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310722 + ... + 310878.

Almost surely, 2^48795600 is an apocalyptic number.

48795600 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 48795600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92317504).

48795600 is an abundant number, since it is smaller than the sum of its proper divisors (135839408).

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

48795600 is a wasteful number, since it uses less digits than its factorization.

48795600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 48795600 is about 6985.3847424462. The cubic root of 48795600 is about 365.4210441128.

The spelling of 48795600 in words is "forty-eight million, seven hundred ninety-five thousand, six hundred".