47466496 has 144 divisors (see below), whose sum is σ = 123243120. Its totient is φ = 18063360.

The previous prime is 47466493. The next prime is 47466583. The reversal of 47466496 is 69466474.

Its product of digits (870912) is a multiple of the sum of its prime divisors (63).

It is not an unprimeable number, because it can be changed into a prime (47466491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1103851 + ... + 1103893.

It is an arithmetic number, because the mean of its divisors is an integer number (855855).

Almost surely, 2^47466496 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 47466496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61621560).

47466496 is an abundant number, since it is smaller than the sum of its proper divisors (75776624).

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

47466496 is a wasteful number, since it uses less digits than its factorization.

47466496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its digits is 870912, while the sum is 46.

The square root of 47466496 is about 6889.5933116549. The cubic root of 47466496 is about 362.0726531221.

The spelling of 47466496 in words is "forty-seven million, four hundred sixty-six thousand, four hundred ninety-six".