47964801 has 8 divisors (see below), whose sum is σ = 64035360. Its totient is φ = 31935392.

The previous prime is 47964779. The next prime is 47964827. The reversal of 47964801 is 10846974.

It is a happy number.

47964801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 47964801 - 2¹⁰ = 47963777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 47964801.

It is not an unprimeable number, because it can be changed into a prime (47964001) 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 7 ways as a sum of consecutive naturals, for example, 7455 + ... + 12308.

It is an arithmetic number, because the mean of its divisors is an integer number (8004420).

Almost surely, 2^47964801 is an apocalyptic number.

It is an amenable number.

47964801 is a deficient number, since it is larger than the sum of its proper divisors (16070559).

47964801 is a wasteful number, since it uses less digits than its factorization.

47964801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20575.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 47964801 is about 6925.6624953863. The cubic root of 47964801 is about 363.3352623601.

The spelling of 47964801 in words is "forty-seven million, nine hundred sixty-four thousand, eight hundred one".