47458656 has 288 divisors, whose sum is σ = 172368000. Its totient is φ = 12628224.

The previous prime is 47458643. The next prime is 47458661. The reversal of 47458656 is 65685474.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (806400) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804355 + ... + 804413.

It is an arithmetic number, because the mean of its divisors is an integer number (598500).

Almost surely, 2^47458656 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 47458656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184000).

47458656 is an abundant number, since it is smaller than the sum of its proper divisors (124909344).

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

47458656 is a wasteful number, since it uses less digits than its factorization.

47458656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 47458656 is about 6889.0243140811. The cubic root of 47458656 is about 362.0527176157.

The spelling of 47458656 in words is "forty-seven million, four hundred fifty-eight thousand, six hundred fifty-six".