48600900 has 54 divisors (see below), whose sum is σ = 152339642. Its totient is φ = 12960000.

The previous prime is 48600883. The next prime is 48600907. The reversal of 48600900 is 900684.

48600900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 492804 + 48108096 = 702^2 + 6936^2 .

It is not an unprimeable number, because it can be changed into a prime (48600907) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 26101 + ... + 27900.

Almost surely, 2^48600900 is an apocalyptic number.

It is an amenable number.

48600900 is an abundant number, since it is smaller than the sum of its proper divisors (103738742).

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

48600900 is a wasteful number, since it uses less digits than its factorization.

48600900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54021 (or 54011 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 48600900 is about 6971.4345725969. The cubic root of 48600900 is about 364.9343723879.

The spelling of 48600900 in words is "forty-eight million, six hundred thousand, nine hundred".