48075600 has 60 divisors (see below), whose sum is σ = 154006016. Its totient is φ = 12819840.

The previous prime is 48075583. The next prime is 48075607. The reversal of 48075600 is 657084.

It is a happy number.

48075600 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 (60).

It is a super-3 number, since 3×48075600³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48075607) 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 11 ways as a sum of consecutive naturals, for example, 18832 + ... + 21231.

Almost surely, 2^48075600 is an apocalyptic number.

48075600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48075600 is an abundant number, since it is smaller than the sum of its proper divisors (105930416).

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

48075600 is a wasteful number, since it uses less digits than its factorization.

48075600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40084 (or 40073 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 48075600 is about 6933.6570437252. The cubic root of 48075600 is about 363.6148161475.

The spelling of 48075600 in words is "forty-eight million, seventy-five thousand, six hundred".