48735000 has 240 divisors, whose sum is σ = 178536600. Its totient is φ = 12312000.

The previous prime is 48734989. The next prime is 48735017. The reversal of 48735000 is 53784.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

48735000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 2564991 + ... + 2565009.

Almost surely, 2^48735000 is an apocalyptic number.

48735000 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 48735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89268300).

48735000 is an abundant number, since it is smaller than the sum of its proper divisors (129801600).

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

48735000 is a wasteful number, since it uses less digits than its factorization.

48735000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 48735000 is about 6981.0457669321. The cubic root of 48735000 is about 365.2697074567.

Adding to 48735000 its reverse (53784), we get a palindrome (48788784).

The spelling of 48735000 in words is "forty-eight million, seven hundred thirty-five thousand".