47461164 has 96 divisors (see below), whose sum is σ = 123002880. Its totient is φ = 14188608.

The previous prime is 47461163. The next prime is 47461177. The reversal of 47461164 is 46116474.

It is not an unprimeable number, because it can be changed into a prime (47461163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460737 + ... + 460839.

It is an arithmetic number, because the mean of its divisors is an integer number (1281280).

Almost surely, 2^47461164 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 47461164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61501440).

47461164 is an abundant number, since it is smaller than the sum of its proper divisors (75541716).

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

47461164 is a wasteful number, since it uses less digits than its factorization.

47461164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 47461164 is about 6889.2063403559. The cubic root of 47461164 is about 362.0590951823.

The spelling of 47461164 in words is "forty-seven million, four hundred sixty-one thousand, one hundred sixty-four".