48121600 has 108 divisors (see below), whose sum is σ = 121912336. Its totient is φ = 18800640.

The previous prime is 48121553. The next prime is 48121607. The reversal of 48121600 is 612184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48121607) 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 11 ways as a sum of consecutive naturals, for example, 467149 + ... + 467251.

Almost surely, 2^48121600 is an apocalyptic number.

48121600 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 48121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60956168).

48121600 is an abundant number, since it is smaller than the sum of its proper divisors (73790736).

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

48121600 is a wasteful number, since it uses less digits than its factorization.

48121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 48121600 is about 6936.9734034376. The cubic root of 48121600 is about 363.7307512556.

Adding to 48121600 its reverse (612184), we get a palindrome (48733784).

The spelling of 48121600 in words is "forty-eight million, one hundred twenty-one thousand, six hundred".