47740500 has 108 divisors (see below), whose sum is σ = 152081748. Its totient is φ = 12607200.

The previous prime is 47740487. The next prime is 47740501. The reversal of 47740500 is 504774.

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.

47740500 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 2 ways, for example, as 1527696 + 46212804 = 1236^2 + 6798^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47740501) 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 35 ways as a sum of consecutive naturals, for example, 463449 + ... + 463551.

Almost surely, 2^47740500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47740500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76040874).

47740500 is an abundant number, since it is smaller than the sum of its proper divisors (104341248).

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

47740500 is a wasteful number, since it uses less digits than its factorization.

47740500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 47740500 is about 6909.4500504744. The cubic root of 47740500 is about 362.7680142404.

Multiplying 47740500 by its product of nonzero digits (3920), we get a square (187142760000 = 432600²).

The spelling of 47740500 in words is "forty-seven million, seven hundred forty thousand, five hundred".