48675600 has 120 divisors (see below), whose sum is σ = 173287520. Its totient is φ = 12977280.

The previous prime is 48675589. The next prime is 48675619. The reversal of 48675600 is 657684.

It is a happy number.

48675600 is a `hidden beast` number, since 48 + 6 + 7 + 5 + 600 = 666.

48675600 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 8547 + ... + 13053.

Almost surely, 2^48675600 is an apocalyptic number.

48675600 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 48675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86643760).

48675600 is an abundant number, since it is smaller than the sum of its proper divisors (124611920).

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

48675600 is a wasteful number, since it uses less digits than its factorization.

48675600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 48675600 is about 6976.7900928722. The cubic root of 48675600 is about 365.1212457650.

The spelling of 48675600 in words is "forty-eight million, six hundred seventy-five thousand, six hundred".