47306448 has 120 divisors (see below), whose sum is σ = 153668736. Its totient is φ = 13305600.

The previous prime is 47306419. The next prime is 47306449. The reversal of 47306448 is 84460374.

47306448 is a `hidden beast` number, since 4 + 7 + 3 + 0 + 644 + 8 = 666.

47306448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47306449) 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 23 ways as a sum of consecutive naturals, for example, 71238 + ... + 71898.

Almost surely, 2^47306448 is an apocalyptic number.

47306448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47306448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76834368).

47306448 is an abundant number, since it is smaller than the sum of its proper divisors (106362288).

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

47306448 is a wasteful number, since it uses less digits than its factorization.

47306448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 47306448 is about 6877.9683046667. The cubic root of 47306448 is about 361.6652481652.

The spelling of 47306448 in words is "forty-seven million, three hundred six thousand, four hundred forty-eight".