47946320 has 40 divisors (see below), whose sum is σ = 111763680. Its totient is φ = 19128960.

The previous prime is 47946319. The next prime is 47946331. The reversal of 47946320 is 2364974.

47946320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 58715 + ... + 59525.

It is an arithmetic number, because the mean of its divisors is an integer number (2794092).

Almost surely, 2^47946320 is an apocalyptic number.

47946320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47946320 is an abundant number, since it is smaller than the sum of its proper divisors (63817360).

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

47946320 is a wasteful number, since it uses less digits than its factorization.

47946320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 47946320 is about 6924.3281262517. The cubic root of 47946320 is about 363.2885915971.

The spelling of 47946320 in words is "forty-seven million, nine hundred forty-six thousand, three hundred twenty".