47461590 has 96 divisors (see below), whose sum is σ = 135862272. Its totient is φ = 11400000.

The previous prime is 47461523. The next prime is 47461591. The reversal of 47461590 is 9516474.

47461590 is a `hidden beast` number, since 4 + 7 + 4 + 61 + 590 = 666.

47461590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47461591) 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 47 ways as a sum of consecutive naturals, for example, 188965 + ... + 189215.

It is an arithmetic number, because the mean of its divisors is an integer number (1415232).

Almost surely, 2^47461590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47461590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

47461590 is an abundant number, since it is smaller than the sum of its proper divisors (88400682).

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

47461590 is a wasteful number, since it uses less digits than its factorization.

47461590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 47461590 is about 6889.2372582166. The cubic root of 47461590 is about 362.0601784309.

Subtracting from 47461590 its reverse (9516474), we obtain a triangular number (37945116 = T₈₇₁₁).

It can be divided in two parts, 4746 and 1590, that added together give a palindrome (6336).

The spelling of 47461590 in words is "forty-seven million, four hundred sixty-one thousand, five hundred ninety".