478048113 has 18 divisors (see below), whose sum is σ = 728774514. Its totient is φ = 301923072.

The previous prime is 478048099. The next prime is 478048121. The reversal of 478048113 is 311840874.

It can be written as a sum of positive squares in only one way, i.e., 430479504 + 47568609 = 20748^2 + 6897^2 .

It is not a de Polignac number, because 478048113 - 2⁹ = 478047601 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (478048163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 70320 + ... + 76817.

It is an arithmetic number, because the mean of its divisors is an integer number (40487473).

Almost surely, 2^478048113 is an apocalyptic number.

It is an amenable number.

478048113 is a deficient number, since it is larger than the sum of its proper divisors (250726401).

478048113 is a wasteful number, since it uses less digits than its factorization.

478048113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147181 (or 147159 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 478048113 is about 21864.3114000876. The cubic root of 478048113 is about 781.9107837292.

Adding to 478048113 its reverse (311840874), we get a palindrome (789888987).

The spelling of 478048113 in words is "four hundred seventy-eight million, forty-eight thousand, one hundred thirteen".