48813600 has 216 divisors, whose sum is σ = 177457392. Its totient is φ = 11558400.

The previous prime is 48813571. The next prime is 48813607. The reversal of 48813600 is 631884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (48813607) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1135179 + ... + 1135221.

It is an arithmetic number, because the mean of its divisors is an integer number (821562).

Almost surely, 2^48813600 is an apocalyptic number.

48813600 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 48813600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88728696).

48813600 is an abundant number, since it is smaller than the sum of its proper divisors (128643792).

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

48813600 is a wasteful number, since it uses less digits than its factorization.

48813600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 48813600 is about 6986.6730279869. The cubic root of 48813600 is about 365.4659714571.

The spelling of 48813600 in words is "forty-eight million, eight hundred thirteen thousand, six hundred".